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Finding the Fourth Proportional to 6,691.96, 10,057.38 and 3,231.64

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Solution

The fourth proportional to 6,691.96, 10,057.38 and 3,231.64 is: 4,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.96 : 10,057.38 = 3,231.64 : x
  2. Step 2: Convert to fraction form
    6,691.96/10,057.38 = 3,231.64/x
  3. Step 3: Cross multiply
    6,691.96x = 10,057.38 × 3,231.64
  4. Step 4: Simplify right side
    6,691.96x = 32,501,831.50
  5. Step 5: Solve for x
    x = 32,501,831.50/6,691.96
  6. Step 6: Final answer
    x = 4,856.85

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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.