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What value of [tex][tex]$x$[/tex][/tex] makes this proportion true?
[tex]\frac{x}{6}=\frac{36}{24}[/tex]

A. 9
B. 8
C. 7
D. 18

Sagot :

GinnyAnswer
To determine what value of [tex]\( x \)[/tex] makes the proportion [tex]\(\frac{x}{6} = \frac{36}{24}\)[/tex] true, we follow these steps:

1. Identify the proportion:
[tex]\[ \frac{x}{6} = \frac{36}{24} \][/tex]

2. Cross-multiply to eliminate the fractions:
[tex]\[ x \cdot 24 = 36 \cdot 6 \][/tex]

3. Perform the multiplication on each side:
[tex]\[ x \cdot 24 = 216 \][/tex]

4. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 24:
[tex]\[ x = \frac{216}{24} \][/tex]

5. Simplify the division:
[tex]\[ x = 9 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] that makes the proportion true is [tex]\( \boxed{9} \)[/tex]. Thus, the correct answer is [tex]\( A \)[/tex].
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