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Finding the Fourth Proportional to 6,222.70, 9,344.85 and 3,306.70

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Solution

The fourth proportional to 6,222.70, 9,344.85 and 3,306.70 is: 4,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.70 : 9,344.85 = 3,306.70 : x
  2. Step 2: Convert to fraction form
    6,222.70/9,344.85 = 3,306.70/x
  3. Step 3: Cross multiply
    6,222.70x = 9,344.85 × 3,306.70
  4. Step 4: Simplify right side
    6,222.70x = 30,900,615.50
  5. Step 5: Solve for x
    x = 30,900,615.50/6,222.70
  6. Step 6: Final answer
    x = 4,965.79

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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.