Solve for x.

start fraction, 4, divided by, 5, end fraction, equals, start fraction, x, divided by, 25, end fraction

54​=

25*x*​

The equation you have is:

\[
\frac{4}{5} = \frac{x}{25}
\]

To solve for \(x\), we can cross-multiply. This means multiplying the numerator of the first fraction by the denominator of the second, and the numerator of the second fraction by the denominator of the first.

So:

\[
4 \times 25 = 5 \times x
\]

This simplifies to:

\[
100 = 5x
\]

Now, divide both sides by 5:

\[
x = \frac{100}{5} = 20
\]

Thus, \(x = 20\).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is cross-multiplication, and how is it applied in fraction equations?
2. How can you check if the solution \(x = 20\) is correct?
3. How do you solve equations with variables in both the numerator and the denominator?
4. What other methods can be used to solve proportional equations like this one?
5. What happens if both sides of the equation involve different variables?

**Tip:** When solving proportion equations, cross-multiplication is a quick and effective method to eliminate fractions and solve for unknowns.

Learn how to solve the proportion 4/5 = x/25 using cross-multiplication. This step-by-step solution covers key algebraic concepts such as proportions and cross-multiplication, suitable for students in Grades 6-8.

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