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Finding the Fourth Proportional to 6,691.98, 10,053.57 and 5,757.81

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Solution

The fourth proportional to 6,691.98, 10,053.57 and 5,757.81 is: 8,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.98 : 10,053.57 = 5,757.81 : x
  2. Step 2: Convert to fraction form
    6,691.98/10,053.57 = 5,757.81/x
  3. Step 3: Cross multiply
    6,691.98x = 10,053.57 × 5,757.81
  4. Step 4: Simplify right side
    6,691.98x = 57,886,545.88
  5. Step 5: Solve for x
    x = 57,886,545.88/6,691.98
  6. Step 6: Final answer
    x = 8,650.14

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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.