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Finding the Fourth Proportional to 6,842.67, 10,269 and 5,286.57

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Solution

The fourth proportional to 6,842.67, 10,269 and 5,286.57 is: 7,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.67 : 10,269 = 5,286.57 : x
  2. Step 2: Convert to fraction form
    6,842.67/10,269 = 5,286.57/x
  3. Step 3: Cross multiply
    6,842.67x = 10,269 × 5,286.57
  4. Step 4: Simplify right side
    6,842.67x = 54,287,787.33
  5. Step 5: Solve for x
    x = 54,287,787.33/6,842.67
  6. Step 6: Final answer
    x = 7,933.71

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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.