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Finding the Fourth Proportional to 6,654.87, 9,957.59 and 4,178.10

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Solution

The fourth proportional to 6,654.87, 9,957.59 and 4,178.10 is: 6,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.87 : 9,957.59 = 4,178.10 : x
  2. Step 2: Convert to fraction form
    6,654.87/9,957.59 = 4,178.10/x
  3. Step 3: Cross multiply
    6,654.87x = 9,957.59 × 4,178.10
  4. Step 4: Simplify right side
    6,654.87x = 41,603,785.89
  5. Step 5: Solve for x
    x = 41,603,785.89/6,654.87
  6. Step 6: Final answer
    x = 6,251.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.