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Finding the Fourth Proportional to 10,229.74, 15,338.40 and 6,674.50

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Solution

The fourth proportional to 10,229.74, 15,338.40 and 6,674.50 is: 10,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.74 : 15,338.40 = 6,674.50 : x
  2. Step 2: Convert to fraction form
    10,229.74/15,338.40 = 6,674.50/x
  3. Step 3: Cross multiply
    10,229.74x = 15,338.40 × 6,674.50
  4. Step 4: Simplify right side
    10,229.74x = 102,376,150.80
  5. Step 5: Solve for x
    x = 102,376,150.80/10,229.74
  6. Step 6: Final answer
    x = 10,007.70

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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.