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Finding the Fourth Proportional to 6,540.67, 9,793.02 and 4,568.27

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Solution

The fourth proportional to 6,540.67, 9,793.02 and 4,568.27 is: 6,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.67 : 9,793.02 = 4,568.27 : x
  2. Step 2: Convert to fraction form
    6,540.67/9,793.02 = 4,568.27/x
  3. Step 3: Cross multiply
    6,540.67x = 9,793.02 × 4,568.27
  4. Step 4: Simplify right side
    6,540.67x = 44,737,159.48
  5. Step 5: Solve for x
    x = 44,737,159.48/6,540.67
  6. Step 6: Final answer
    x = 6,839.84

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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.