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Finding the Fourth Proportional to 6,463.80, 9,695.97 and 3,861

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Solution

The fourth proportional to 6,463.80, 9,695.97 and 3,861 is: 5,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.80 : 9,695.97 = 3,861 : x
  2. Step 2: Convert to fraction form
    6,463.80/9,695.97 = 3,861/x
  3. Step 3: Cross multiply
    6,463.80x = 9,695.97 × 3,861
  4. Step 4: Simplify right side
    6,463.80x = 37,436,140.17
  5. Step 5: Solve for x
    x = 37,436,140.17/6,463.80
  6. Step 6: Final answer
    x = 5,791.66

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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.