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Finding the Fourth Proportional to 10,593.81, 15,882.39 and 6,690

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Solution

The fourth proportional to 10,593.81, 15,882.39 and 6,690 is: 10,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.81 : 15,882.39 = 6,690 : x
  2. Step 2: Convert to fraction form
    10,593.81/15,882.39 = 6,690/x
  3. Step 3: Cross multiply
    10,593.81x = 15,882.39 × 6,690
  4. Step 4: Simplify right side
    10,593.81x = 106,253,189.10
  5. Step 5: Solve for x
    x = 106,253,189.10/10,593.81
  6. Step 6: Final answer
    x = 10,029.74

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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.