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Finding the Fourth Proportional to 6,517.96, 9,777.76 and 2,134.24

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Solution

The fourth proportional to 6,517.96, 9,777.76 and 2,134.24 is: 3,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.96 : 9,777.76 = 2,134.24 : x
  2. Step 2: Convert to fraction form
    6,517.96/9,777.76 = 2,134.24/x
  3. Step 3: Cross multiply
    6,517.96x = 9,777.76 × 2,134.24
  4. Step 4: Simplify right side
    6,517.96x = 20,868,086.50
  5. Step 5: Solve for x
    x = 20,868,086.50/6,517.96
  6. Step 6: Final answer
    x = 3,201.63

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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.