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Finding the Fourth Proportional to 6,170.20, 9,233.70 and 4,226.20

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Solution

The fourth proportional to 6,170.20, 9,233.70 and 4,226.20 is: 6,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.20 : 9,233.70 = 4,226.20 : x
  2. Step 2: Convert to fraction form
    6,170.20/9,233.70 = 4,226.20/x
  3. Step 3: Cross multiply
    6,170.20x = 9,233.70 × 4,226.20
  4. Step 4: Simplify right side
    6,170.20x = 39,023,462.94
  5. Step 5: Solve for x
    x = 39,023,462.94/6,170.20
  6. Step 6: Final answer
    x = 6,324.51

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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.