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Finding the Fourth Proportional to 10,398.12, 15,593.94 and 3,471

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Solution

The fourth proportional to 10,398.12, 15,593.94 and 3,471 is: 5,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.12 : 15,593.94 = 3,471 : x
  2. Step 2: Convert to fraction form
    10,398.12/15,593.94 = 3,471/x
  3. Step 3: Cross multiply
    10,398.12x = 15,593.94 × 3,471
  4. Step 4: Simplify right side
    10,398.12x = 54,126,565.74
  5. Step 5: Solve for x
    x = 54,126,565.74/10,398.12
  6. Step 6: Final answer
    x = 5,205.42

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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.