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Finding the Fourth Proportional to 6,147.60, 9,215.24 and 2,446.10

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Solution

The fourth proportional to 6,147.60, 9,215.24 and 2,446.10 is: 3,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.60 : 9,215.24 = 2,446.10 : x
  2. Step 2: Convert to fraction form
    6,147.60/9,215.24 = 2,446.10/x
  3. Step 3: Cross multiply
    6,147.60x = 9,215.24 × 2,446.10
  4. Step 4: Simplify right side
    6,147.60x = 22,541,340.26
  5. Step 5: Solve for x
    x = 22,541,340.26/6,147.60
  6. Step 6: Final answer
    x = 3,666.69

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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.