What number must be added to each of the numbers 2, 3, 6, 8 to get the numbers which are
in proportion?
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Step-by-step explanation:
Let us add x to each of the four numbers to get (6+x):(14+x)::(18+x):(38+x).
The product of the ends = the product of the means, or
(6+x)(38+x) = (14+x)(18+x), or
x^2 + 44x + 228 = x^2 + 32x + 252, or
44x - 32x = 252–228, or
12x = 24, or x =2.
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