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Finding the Fourth Proportional to 8,114.88, 12,170.48 and 3,728.12

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Solution

The fourth proportional to 8,114.88, 12,170.48 and 3,728.12 is: 5,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.88 : 12,170.48 = 3,728.12 : x
  2. Step 2: Convert to fraction form
    8,114.88/12,170.48 = 3,728.12/x
  3. Step 3: Cross multiply
    8,114.88x = 12,170.48 × 3,728.12
  4. Step 4: Simplify right side
    8,114.88x = 45,373,009.90
  5. Step 5: Solve for x
    x = 45,373,009.90/8,114.88
  6. Step 6: Final answer
    x = 5,591.33

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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.