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s. Find the mean proportroai c2 72几で-6. What number must be added to each of the numbers 10, 18, 22, 38 to get the numbers which are in propo

Answer»

For the sequence to be proportion, we need to ensure that

term1/term2 = term3/term4 ...

Define x:

Let x be the number that we need to add to each number

Solve x:

Sequence = 10, 18, 22, 38

(term 1 + x) /(term 2 + x) = (term 3 + x) / term 4 + x)

(10 + x) / (18 + x) = (22 + x) / (38 + x)

(10 + x)(38 + x) = (18 + x) (22 + x)

380 + 10x + 38x + x² = 396 + 18x + 22x + x²

380 + 48x + x² = 396 + 40x + x²

48x - 40x = 396 - 3808x = 16x=2



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