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" Given three terms of a proportion, to find the fourth. Solution. The following solution is immediately obtained from the test. When the required term is an extreme, divide the product of the means by the given extreme, and the quotient is the required... "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 45
by Benjamin Peirce - 1860 - 284 pages
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...which is consistent with the application of the test. To find the Fourth Term of a Proportion. 64. Problem. Given three terms of a proportion, to find...given mean, and the quotient is the required mean. EXAMPLES. 1. Given the three first terms of a proportion respectively BC A, B, C', find the fourth....
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...and the quotient is the required extreme. When the required term is a mean, divide the product of ihe extremes by the given mean, and the quotient is the required mean. EXAMPLES. 1. Given the three first terms of a proportion respectively BC A, B, C; find the fourth....
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An Elementary Treatise on Algebra

Benjamin Peirce - Algebra - 1851 - 294 pages
...form a proportion, we obtain from the preceding test A : C = B : D B : A = D : C B:D = A :C D:C= B:A, &c.; To find the Fourth Term of a Proportion. 88....and the quotient is the required mean. 89. EXAMPLES. 3, ' 1. Given the three first terms of a proportion respectively A, B, C; find the fourth. Ans. —T-....
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...of a proportion may be transposed in any way which is consistent with the application of the test. To find the Fourth Term of a Proportion. 88. Problem....the three first terms of a proportion respectively rtr* A,B,C, find the fourth. Ans. D-. A 2. Given the three first terms of a proportion respectively...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 296 pages
...of a proportion may he transposed in any way which is consistent with the application of the test. To find the Fourth Term of a Proportion. 88. Problem....the three first terms of a proportion respectively SC A,B,C; find the fourth. Ans. -p. A 2. Given the three first terms of a proportion respectively 2...
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Rifles and Rifle Practice: An Elementary Treatise Upon the Theory of Rifle ...

Cadmus Marcellus Wilcox - Rifle practice - 1859 - 308 pages
...means by the known extreme, the quotient will be the other extreme that we seek. If the fourth unknown term is a mean, divide the product of the extremes by the other, or known mean. In a proportion of this form, 16 : 8 : : 8 : 4, the term 8 is a geometric mean...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 348 pages
...term be an extreme, divide the product of the means by the given extreme ; if the required farm be a mean, divide the product of the extremes by the given mean. NOTES. 1. If the terms of any couplet be of different denominations, they must be reduced to the same...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1864 - 298 pages
...D form a proportion, we obtain from the preceding test A :C= B :D B:A = D:C B : D = A : C D:C= B:A, &.c.; To find the Fourth Term of a Proportion. 88....proportion respectively A, B, C; find the fourth. Ans. -j-. BC A 2. Given the three first terms of a proportion respectively 2 a 6 2 , 3 a 2 6, 6 b 3...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1864 - 314 pages
...of a proportion may be transposed in any way which is consistent with the application of the test. To find the Fourth Term of a Proportion. 88. Problem....required mean. 89. EXAMPLES. 1. Given the three first terns of a proportion respectively ftfi A, B, C; find the fourth. Ans. -j-. A 2. Given the three first...
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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...RULES. — I. To find an extreme, divide the product of the means by the given extreme. II. To find a mean, divide the product of the extremes by the given mean. 452. What is Proportion ? — 453. In how many ways la proportion expressed ? Describe them. — 454....
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