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Finding the Fourth Proportional to 6,910.74, 10,367.10 and 2,229.66

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Solution

The fourth proportional to 6,910.74, 10,367.10 and 2,229.66 is: 3,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.74 : 10,367.10 = 2,229.66 : x
  2. Step 2: Convert to fraction form
    6,910.74/10,367.10 = 2,229.66/x
  3. Step 3: Cross multiply
    6,910.74x = 10,367.10 × 2,229.66
  4. Step 4: Simplify right side
    6,910.74x = 23,115,108.19
  5. Step 5: Solve for x
    x = 23,115,108.19/6,910.74
  6. Step 6: Final answer
    x = 3,344.81

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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.