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Finding the Fourth Proportional to 25,337.80, 38,006.70 and 7,569.10

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Solution

The fourth proportional to 25,337.80, 38,006.70 and 7,569.10 is: 11,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337.80 : 38,006.70 = 7,569.10 : x
  2. Step 2: Convert to fraction form
    25,337.80/38,006.70 = 7,569.10/x
  3. Step 3: Cross multiply
    25,337.80x = 38,006.70 × 7,569.10
  4. Step 4: Simplify right side
    25,337.80x = 287,676,512.97
  5. Step 5: Solve for x
    x = 287,676,512.97/25,337.80
  6. Step 6: Final answer
    x = 11,353.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.