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Finding the Fourth Proportional to 6,766.44, 10,149.84 and 3,255.90

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Solution

The fourth proportional to 6,766.44, 10,149.84 and 3,255.90 is: 4,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.44 : 10,149.84 = 3,255.90 : x
  2. Step 2: Convert to fraction form
    6,766.44/10,149.84 = 3,255.90/x
  3. Step 3: Cross multiply
    6,766.44x = 10,149.84 × 3,255.90
  4. Step 4: Simplify right side
    6,766.44x = 33,046,864.06
  5. Step 5: Solve for x
    x = 33,046,864.06/6,766.44
  6. Step 6: Final answer
    x = 4,883.94

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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.