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Finding the Fourth Proportional to 6,614.90, 9,906.15 and 4,411.70

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Solution

The fourth proportional to 6,614.90, 9,906.15 and 4,411.70 is: 6,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.90 : 9,906.15 = 4,411.70 : x
  2. Step 2: Convert to fraction form
    6,614.90/9,906.15 = 4,411.70/x
  3. Step 3: Cross multiply
    6,614.90x = 9,906.15 × 4,411.70
  4. Step 4: Simplify right side
    6,614.90x = 43,702,961.96
  5. Step 5: Solve for x
    x = 43,702,961.96/6,614.90
  6. Step 6: Final answer
    x = 6,606.75

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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.