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Finding the Fourth Proportional to 11,552.87, 15,942.87 and 6,517.13

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Solution

The fourth proportional to 11,552.87, 15,942.87 and 6,517.13 is: 8,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.87 : 15,942.87 = 6,517.13 : x
  2. Step 2: Convert to fraction form
    11,552.87/15,942.87 = 6,517.13/x
  3. Step 3: Cross multiply
    11,552.87x = 15,942.87 × 6,517.13
  4. Step 4: Simplify right side
    11,552.87x = 103,901,676.65
  5. Step 5: Solve for x
    x = 103,901,676.65/11,552.87
  6. Step 6: Final answer
    x = 8,993.59

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1.5x scale

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.