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Finding the Fourth Proportional to 10,984.50, 15,159.42 and 6,793.56

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Solution

The fourth proportional to 10,984.50, 15,159.42 and 6,793.56 is: 9,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.50 : 15,159.42 = 6,793.56 : x
  2. Step 2: Convert to fraction form
    10,984.50/15,159.42 = 6,793.56/x
  3. Step 3: Cross multiply
    10,984.50x = 15,159.42 × 6,793.56
  4. Step 4: Simplify right side
    10,984.50x = 102,986,429.34
  5. Step 5: Solve for x
    x = 102,986,429.34/10,984.50
  6. Step 6: Final answer
    x = 9,375.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.