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Finding the Fourth Proportional to 6,512.97, 9,772.19 and 4,049.86

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Solution

The fourth proportional to 6,512.97, 9,772.19 and 4,049.86 is: 6,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.97 : 9,772.19 = 4,049.86 : x
  2. Step 2: Convert to fraction form
    6,512.97/9,772.19 = 4,049.86/x
  3. Step 3: Cross multiply
    6,512.97x = 9,772.19 × 4,049.86
  4. Step 4: Simplify right side
    6,512.97x = 39,576,001.39
  5. Step 5: Solve for x
    x = 39,576,001.39/6,512.97
  6. Step 6: Final answer
    x = 6,076.49

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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.