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Finding the Fourth Proportional to 7,492.38, 10,339 and 4,135.23

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Solution

The fourth proportional to 7,492.38, 10,339 and 4,135.23 is: 5,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.38 : 10,339 = 4,135.23 : x
  2. Step 2: Convert to fraction form
    7,492.38/10,339 = 4,135.23/x
  3. Step 3: Cross multiply
    7,492.38x = 10,339 × 4,135.23
  4. Step 4: Simplify right side
    7,492.38x = 42,754,142.97
  5. Step 5: Solve for x
    x = 42,754,142.97/7,492.38
  6. Step 6: Final answer
    x = 5,706.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.