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Finding the Fourth Proportional to 6,614.96, 9,922.45 and 2,917.20

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Solution

The fourth proportional to 6,614.96, 9,922.45 and 2,917.20 is: 4,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.96 : 9,922.45 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    6,614.96/9,922.45 = 2,917.20/x
  3. Step 3: Cross multiply
    6,614.96x = 9,922.45 × 2,917.20
  4. Step 4: Simplify right side
    6,614.96x = 28,945,763.85
  5. Step 5: Solve for x
    x = 28,945,763.85/6,614.96
  6. Step 6: Final answer
    x = 4,375.81

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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.