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What value of [tex]\( x \)[/tex] makes this proportion true?

[tex]\[
\frac{25}{20} = \frac{x}{4}
\][/tex]

A. 5
B. 20
C. 9
D. 6


Sagot :

To find the value of [tex]\( x \)[/tex] that makes the proportion

[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]

true, we can follow these steps:

1. Begin with the given proportion:

[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]

2. Use cross-multiplication to solve for [tex]\( x \)[/tex]. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. So, perform the cross-multiplication as follows:

[tex]\[ 25 \cdot 4 = 20 \cdot x \][/tex]

3. Simplify the equation derived from the cross-multiplication:

[tex]\[ 100 = 20x \][/tex]

4. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 20:

[tex]\[ x = \frac{100}{20} \][/tex]

5. Simplify the fraction:

[tex]\[ x = 5 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] that makes the given proportion true is [tex]\( x = 5 \)[/tex].

So, the correct answer is:

A. 5