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Finding the Fourth Proportional to 6,614.48, 9,917.70 and 2,607.08

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Solution

The fourth proportional to 6,614.48, 9,917.70 and 2,607.08 is: 3,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.48 : 9,917.70 = 2,607.08 : x
  2. Step 2: Convert to fraction form
    6,614.48/9,917.70 = 2,607.08/x
  3. Step 3: Cross multiply
    6,614.48x = 9,917.70 × 2,607.08
  4. Step 4: Simplify right side
    6,614.48x = 25,856,187.73
  5. Step 5: Solve for x
    x = 25,856,187.73/6,614.48
  6. Step 6: Final answer
    x = 3,909.03

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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.