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Finding the Fourth Proportional to 9,241.40, 12,753.14 and 6,593.40

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Solution

The fourth proportional to 9,241.40, 12,753.14 and 6,593.40 is: 9,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.40 : 12,753.14 = 6,593.40 : x
  2. Step 2: Convert to fraction form
    9,241.40/12,753.14 = 6,593.40/x
  3. Step 3: Cross multiply
    9,241.40x = 12,753.14 × 6,593.40
  4. Step 4: Simplify right side
    9,241.40x = 84,086,553.28
  5. Step 5: Solve for x
    x = 84,086,553.28/9,241.40
  6. Step 6: Final answer
    x = 9,098.90

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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.