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Finding the Fourth Proportional to 8,729.20, 13,093.80 and 8,114.80

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Solution

The fourth proportional to 8,729.20, 13,093.80 and 8,114.80 is: 12,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.20 : 13,093.80 = 8,114.80 : x
  2. Step 2: Convert to fraction form
    8,729.20/13,093.80 = 8,114.80/x
  3. Step 3: Cross multiply
    8,729.20x = 13,093.80 × 8,114.80
  4. Step 4: Simplify right side
    8,729.20x = 106,253,568.24
  5. Step 5: Solve for x
    x = 106,253,568.24/8,729.20
  6. Step 6: Final answer
    x = 12,172.20

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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.