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Finding the Fourth Proportional to 6,906.20, 10,337.70 and 4,962.20

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Solution

The fourth proportional to 6,906.20, 10,337.70 and 4,962.20 is: 7,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.20 : 10,337.70 = 4,962.20 : x
  2. Step 2: Convert to fraction form
    6,906.20/10,337.70 = 4,962.20/x
  3. Step 3: Cross multiply
    6,906.20x = 10,337.70 × 4,962.20
  4. Step 4: Simplify right side
    6,906.20x = 51,297,734.94
  5. Step 5: Solve for x
    x = 51,297,734.94/6,906.20
  6. Step 6: Final answer
    x = 7,427.78

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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.