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Finding the Fourth Proportional to 6,611.76, 9,917.67 and 2,229.26

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Solution

The fourth proportional to 6,611.76, 9,917.67 and 2,229.26 is: 3,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.76 : 9,917.67 = 2,229.26 : x
  2. Step 2: Convert to fraction form
    6,611.76/9,917.67 = 2,229.26/x
  3. Step 3: Cross multiply
    6,611.76x = 9,917.67 × 2,229.26
  4. Step 4: Simplify right side
    6,611.76x = 22,109,023.80
  5. Step 5: Solve for x
    x = 22,109,023.80/6,611.76
  6. Step 6: Final answer
    x = 3,343.89

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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.