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Finding the Fourth Proportional to 10,398.72, 15,593.04 and 5,463.48

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Solution

The fourth proportional to 10,398.72, 15,593.04 and 5,463.48 is: 8,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.72 : 15,593.04 = 5,463.48 : x
  2. Step 2: Convert to fraction form
    10,398.72/15,593.04 = 5,463.48/x
  3. Step 3: Cross multiply
    10,398.72x = 15,593.04 × 5,463.48
  4. Step 4: Simplify right side
    10,398.72x = 85,192,262.18
  5. Step 5: Solve for x
    x = 85,192,262.18/10,398.72
  6. Step 6: Final answer
    x = 8,192.57

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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.