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Finding the Fourth Proportional to 6,440.85, 9,662.49 and 2,279.61

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Solution

The fourth proportional to 6,440.85, 9,662.49 and 2,279.61 is: 3,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.85 : 9,662.49 = 2,279.61 : x
  2. Step 2: Convert to fraction form
    6,440.85/9,662.49 = 2,279.61/x
  3. Step 3: Cross multiply
    6,440.85x = 9,662.49 × 2,279.61
  4. Step 4: Simplify right side
    6,440.85x = 22,026,708.83
  5. Step 5: Solve for x
    x = 22,026,708.83/6,440.85
  6. Step 6: Final answer
    x = 3,419.85

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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.