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Finding the Fourth Proportional to 6,635.47, 9,954.12 and 2,251.75

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Solution

The fourth proportional to 6,635.47, 9,954.12 and 2,251.75 is: 3,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.47 : 9,954.12 = 2,251.75 : x
  2. Step 2: Convert to fraction form
    6,635.47/9,954.12 = 2,251.75/x
  3. Step 3: Cross multiply
    6,635.47x = 9,954.12 × 2,251.75
  4. Step 4: Simplify right side
    6,635.47x = 22,414,189.71
  5. Step 5: Solve for x
    x = 22,414,189.71/6,635.47
  6. Step 6: Final answer
    x = 3,377.94

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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.