Question

Which of the following is the value of x in the proportion 6 : 8 :: x : 32.

Answer 1

Answer:

6 : 8 :: x : 32

Product of extremes = Product of Means

6 × 32 = 8x

x = 6 × 32/8 = 24

Answer 2

$\large\sf\underline{Given:-}$

• $\sf\:6:8::x:32$

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$\large\sf\underline{To\:find:-}$

• Value of x .

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$\large\sf\underline{Solution:-}$

$\sf➞\:6:8::x:32$

$\sf➞\:\frac{6}{8}=\frac{x}{32}$

• Cross multiplying

$\sf➞\:8x=32×6$

$\sf➞\:8x=192$

$\sf➞\:x=\frac{192}{8}$

${\sf{{\pink{➞\:x=24}}}}$

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$\large\rm\purple\star\:\underline{Verification\:of\:my\:answer-}$

$\sf➻\:6:8::24:32$

$\sf➻\:\frac{6}{8}=\frac{24}{32}$

• Cross multiplying

$\sf➻\:8×24=32×6$

$\sf➻\:192=192$

${\sf{{\purple{[Hence\: verified]}}}}$

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!! Hope it helps !!