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Finding the Fourth Proportional to 6,640.32, 9,961.92 and 2,023.68

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Solution

The fourth proportional to 6,640.32, 9,961.92 and 2,023.68 is: 3,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.32 : 9,961.92 = 2,023.68 : x
  2. Step 2: Convert to fraction form
    6,640.32/9,961.92 = 2,023.68/x
  3. Step 3: Cross multiply
    6,640.32x = 9,961.92 × 2,023.68
  4. Step 4: Simplify right side
    6,640.32x = 20,159,738.27
  5. Step 5: Solve for x
    x = 20,159,738.27/6,640.32
  6. Step 6: Final answer
    x = 3,035.96

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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.