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Finding the Fourth Proportional to 6,414.68, 9,614.72 and 2,714.60

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Solution

The fourth proportional to 6,414.68, 9,614.72 and 2,714.60 is: 4,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.68 : 9,614.72 = 2,714.60 : x
  2. Step 2: Convert to fraction form
    6,414.68/9,614.72 = 2,714.60/x
  3. Step 3: Cross multiply
    6,414.68x = 9,614.72 × 2,714.60
  4. Step 4: Simplify right side
    6,414.68x = 26,100,057.27
  5. Step 5: Solve for x
    x = 26,100,057.27/6,414.68
  6. Step 6: Final answer
    x = 4,068.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.