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Finding the Fourth Proportional to 6,652.46, 9,965.92 and 3,721.88

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Solution

The fourth proportional to 6,652.46, 9,965.92 and 3,721.88 is: 5,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.46 : 9,965.92 = 3,721.88 : x
  2. Step 2: Convert to fraction form
    6,652.46/9,965.92 = 3,721.88/x
  3. Step 3: Cross multiply
    6,652.46x = 9,965.92 × 3,721.88
  4. Step 4: Simplify right side
    6,652.46x = 37,091,958.33
  5. Step 5: Solve for x
    x = 37,091,958.33/6,652.46
  6. Step 6: Final answer
    x = 5,575.68

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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.