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Finding the Fourth Proportional to 8,129.20, 12,193.80 and 7,205.80

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Solution

The fourth proportional to 8,129.20, 12,193.80 and 7,205.80 is: 10,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.20 : 12,193.80 = 7,205.80 : x
  2. Step 2: Convert to fraction form
    8,129.20/12,193.80 = 7,205.80/x
  3. Step 3: Cross multiply
    8,129.20x = 12,193.80 × 7,205.80
  4. Step 4: Simplify right side
    8,129.20x = 87,866,084.04
  5. Step 5: Solve for x
    x = 87,866,084.04/8,129.20
  6. Step 6: Final answer
    x = 10,808.70

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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.