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Finding the Fourth Proportional to 6,651.43, 9,977.24 and 3,187.87

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Solution

The fourth proportional to 6,651.43, 9,977.24 and 3,187.87 is: 4,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.43 : 9,977.24 = 3,187.87 : x
  2. Step 2: Convert to fraction form
    6,651.43/9,977.24 = 3,187.87/x
  3. Step 3: Cross multiply
    6,651.43x = 9,977.24 × 3,187.87
  4. Step 4: Simplify right side
    6,651.43x = 31,806,144.08
  5. Step 5: Solve for x
    x = 31,806,144.08/6,651.43
  6. Step 6: Final answer
    x = 4,781.85

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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.