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Finding the Fourth Proportional to 8,114.10, 12,171.15 and 5,343.90

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Solution

The fourth proportional to 8,114.10, 12,171.15 and 5,343.90 is: 8,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.10 : 12,171.15 = 5,343.90 : x
  2. Step 2: Convert to fraction form
    8,114.10/12,171.15 = 5,343.90/x
  3. Step 3: Cross multiply
    8,114.10x = 12,171.15 × 5,343.90
  4. Step 4: Simplify right side
    8,114.10x = 65,041,408.49
  5. Step 5: Solve for x
    x = 65,041,408.49/8,114.10
  6. Step 6: Final answer
    x = 8,015.85

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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.