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Finding the Fourth Proportional to 6,902.31, 10,353.22 and 2,222.57

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Solution

The fourth proportional to 6,902.31, 10,353.22 and 2,222.57 is: 3,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.31 : 10,353.22 = 2,222.57 : x
  2. Step 2: Convert to fraction form
    6,902.31/10,353.22 = 2,222.57/x
  3. Step 3: Cross multiply
    6,902.31x = 10,353.22 × 2,222.57
  4. Step 4: Simplify right side
    6,902.31x = 23,010,776.50
  5. Step 5: Solve for x
    x = 23,010,776.50/6,902.31
  6. Step 6: Final answer
    x = 3,333.78

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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.