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Finding the Fourth Proportional to 6,765.52, 10,122.76 and 3,993.70

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Solution

The fourth proportional to 6,765.52, 10,122.76 and 3,993.70 is: 5,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.52 : 10,122.76 = 3,993.70 : x
  2. Step 2: Convert to fraction form
    6,765.52/10,122.76 = 3,993.70/x
  3. Step 3: Cross multiply
    6,765.52x = 10,122.76 × 3,993.70
  4. Step 4: Simplify right side
    6,765.52x = 40,427,266.61
  5. Step 5: Solve for x
    x = 40,427,266.61/6,765.52
  6. Step 6: Final answer
    x = 5,975.49

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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.