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Finding the Fourth Proportional to 8,183.80, 12,251.40 and 7,211.80

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Solution

The fourth proportional to 8,183.80, 12,251.40 and 7,211.80 is: 10,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.80 : 12,251.40 = 7,211.80 : x
  2. Step 2: Convert to fraction form
    8,183.80/12,251.40 = 7,211.80/x
  3. Step 3: Cross multiply
    8,183.80x = 12,251.40 × 7,211.80
  4. Step 4: Simplify right side
    8,183.80x = 88,354,646.52
  5. Step 5: Solve for x
    x = 88,354,646.52/8,183.80
  6. Step 6: Final answer
    x = 10,796.29

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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.