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Finding the Fourth Proportional to 6,738.97, 10,115.64 and 5,963.90

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Solution

The fourth proportional to 6,738.97, 10,115.64 and 5,963.90 is: 8,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.97 : 10,115.64 = 5,963.90 : x
  2. Step 2: Convert to fraction form
    6,738.97/10,115.64 = 5,963.90/x
  3. Step 3: Cross multiply
    6,738.97x = 10,115.64 × 5,963.90
  4. Step 4: Simplify right side
    6,738.97x = 60,328,652.75
  5. Step 5: Solve for x
    x = 60,328,652.75/6,738.97
  6. Step 6: Final answer
    x = 8,952.21

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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.