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Finding the Fourth Proportional to 10,265.40, 15,398.10 and 3,691.80

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Solution

The fourth proportional to 10,265.40, 15,398.10 and 3,691.80 is: 5,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.40 : 15,398.10 = 3,691.80 : x
  2. Step 2: Convert to fraction form
    10,265.40/15,398.10 = 3,691.80/x
  3. Step 3: Cross multiply
    10,265.40x = 15,398.10 × 3,691.80
  4. Step 4: Simplify right side
    10,265.40x = 56,846,705.58
  5. Step 5: Solve for x
    x = 56,846,705.58/10,265.40
  6. Step 6: Final answer
    x = 5,537.70

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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.