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Finding the Fourth Proportional to 6,836.72, 10,246.14 and 6,665

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Solution

The fourth proportional to 6,836.72, 10,246.14 and 6,665 is: 9,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.72 : 10,246.14 = 6,665 : x
  2. Step 2: Convert to fraction form
    6,836.72/10,246.14 = 6,665/x
  3. Step 3: Cross multiply
    6,836.72x = 10,246.14 × 6,665
  4. Step 4: Simplify right side
    6,836.72x = 68,290,523.10
  5. Step 5: Solve for x
    x = 68,290,523.10/6,836.72
  6. Step 6: Final answer
    x = 9,988.78

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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.