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Finding the Fourth Proportional to 6,780.92, 10,163.80 and 6,002.96

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Solution

The fourth proportional to 6,780.92, 10,163.80 and 6,002.96 is: 8,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.92 : 10,163.80 = 6,002.96 : x
  2. Step 2: Convert to fraction form
    6,780.92/10,163.80 = 6,002.96/x
  3. Step 3: Cross multiply
    6,780.92x = 10,163.80 × 6,002.96
  4. Step 4: Simplify right side
    6,780.92x = 61,012,884.85
  5. Step 5: Solve for x
    x = 61,012,884.85/6,780.92
  6. Step 6: Final answer
    x = 8,997.73

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1.5x scale

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.