We can solve this problem by recognizing that you're likely looking for a proportional relationship between the values. Here's how we approach it:

Given:
- \( 67,500 \rightarrow 4,500 \)

You want to know what value corresponds to 1,000. The relationship can be expressed as a proportion:

\[
\frac{67,500}{4,500} = \frac{X}{1,000}
\]

Now, let's solve for \( X \):

1. First, simplify the left side of the equation:
\[
\frac{67,500}{4,500} = 15
\]

So, the ratio is 15:1, meaning for every 15 units on the left, there is 1 unit on the right.

2. Now, apply this ratio to find \( X \):
\[
X = 15 \times 1,000 = 15,000
\]

Thus, the answer is \( X = 15,000 \).

Would you like further explanation or details on this? Here are some related questions:

1. How do ratios and proportions work in more complex problems?
2. Can you solve this using a different method, such as cross-multiplication?
3. How are proportional relationships applied in real-world problems?
4. What happens if the values were not proportional?
5. How would this change if the numbers were fractions or decimals?

**Tip:** Always check if two quantities are directly proportional before setting up a proportion for the relationship.

Learn how to solve a proportion problem involving the ratio 67,500 to 4,500. This detailed solution explains how to simplify ratios and apply proportional relationships to find the corresponding value for 1,000. Suitable for students in Grades 6-8.

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