To solve the equation \( \frac{1}{65000} = \frac{x}{21000} \) for \( x \), we can use cross-multiplication. Here's the process:

\[
1 \times 21000 = 65000 \times x
\]

\[
21000 = 65000x
\]

Next, solve for \( x \) by dividing both sides by 65000:

\[
x = \frac{21000}{65000}
\]

Simplify the fraction:

\[
x = \frac{21000 \div 1000}{65000 \div 1000} = \frac{21}{65}
\]

This fraction can be simplified further by dividing the numerator and denominator by their greatest common divisor (GCD), which is 1:

\[
x = \frac{21}{65}
\]

So, \( x = \frac{21}{65} \), or as a decimal:

\[
x \approx 0.323
\]

Would you like more details on any part of this process?

Here are 5 related questions:
1. How would the solution change if the equation were \( \frac{2}{65000} = \frac{x}{21000} \)?
2. Can you explain the concept of cross-multiplication in solving proportions?
3. What is the decimal approximation for \( x \) in the simplified fraction \( \frac{21}{65} \)?
4. How can you check if the solution \( x = \frac{21}{65} \) is correct?
5. What are some other methods to solve proportions besides cross-multiplication?

**Tip:** When simplifying fractions, always check for the greatest common divisor (GCD) to simplify accurately.

Discover how to solve the proportion 1/65000 = x/21000 using cross-multiplication. This algebra problem is ideal for students in Grades 6-8 and involves key concepts in proportions and basic algebra. Learn the step-by-step process to find the value of x.

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