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Finding the Fourth Proportional to 6,658.74, 9,992.04 and 3,851.13

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Solution

The fourth proportional to 6,658.74, 9,992.04 and 3,851.13 is: 5,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.74 : 9,992.04 = 3,851.13 : x
  2. Step 2: Convert to fraction form
    6,658.74/9,992.04 = 3,851.13/x
  3. Step 3: Cross multiply
    6,658.74x = 9,992.04 × 3,851.13
  4. Step 4: Simplify right side
    6,658.74x = 38,480,645.01
  5. Step 5: Solve for x
    x = 38,480,645.01/6,658.74
  6. Step 6: Final answer
    x = 5,778.97

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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.