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Finding the Fourth Proportional to 6,493.92, 9,731.91 and 3,714.73

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Solution

The fourth proportional to 6,493.92, 9,731.91 and 3,714.73 is: 5,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.92 : 9,731.91 = 3,714.73 : x
  2. Step 2: Convert to fraction form
    6,493.92/9,731.91 = 3,714.73/x
  3. Step 3: Cross multiply
    6,493.92x = 9,731.91 × 3,714.73
  4. Step 4: Simplify right side
    6,493.92x = 36,151,407.63
  5. Step 5: Solve for x
    x = 36,151,407.63/6,493.92
  6. Step 6: Final answer
    x = 5,566.96

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1.5x scale

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.