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Finding the Fourth Proportional to 6,998.60, 9,663.90 and 6,251.24

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Solution

The fourth proportional to 6,998.60, 9,663.90 and 6,251.24 is: 8,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.60 : 9,663.90 = 6,251.24 : x
  2. Step 2: Convert to fraction form
    6,998.60/9,663.90 = 6,251.24/x
  3. Step 3: Cross multiply
    6,998.60x = 9,663.90 × 6,251.24
  4. Step 4: Simplify right side
    6,998.60x = 60,411,358.24
  5. Step 5: Solve for x
    x = 60,411,358.24/6,998.60
  6. Step 6: Final answer
    x = 8,631.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.