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Finding the Fourth Proportional to 5,469.40, 8,204.10 and 4,375.90

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Solution

The fourth proportional to 5,469.40, 8,204.10 and 4,375.90 is: 6,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.40 : 8,204.10 = 4,375.90 : x
  2. Step 2: Convert to fraction form
    5,469.40/8,204.10 = 4,375.90/x
  3. Step 3: Cross multiply
    5,469.40x = 8,204.10 × 4,375.90
  4. Step 4: Simplify right side
    5,469.40x = 35,900,321.19
  5. Step 5: Solve for x
    x = 35,900,321.19/5,469.40
  6. Step 6: Final answer
    x = 6,563.85

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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.