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Finding the Fourth Proportional to 6,766.25, 10,147.21 and 2,148.17

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Solution

The fourth proportional to 6,766.25, 10,147.21 and 2,148.17 is: 3,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.25 : 10,147.21 = 2,148.17 : x
  2. Step 2: Convert to fraction form
    6,766.25/10,147.21 = 2,148.17/x
  3. Step 3: Cross multiply
    6,766.25x = 10,147.21 × 2,148.17
  4. Step 4: Simplify right side
    6,766.25x = 21,797,876.00
  5. Step 5: Solve for x
    x = 21,797,876.00/6,766.25
  6. Step 6: Final answer
    x = 3,221.56

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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.