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Finding the Fourth Proportional to 11,552.20, 15,942.03 and 6,516.41

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Solution

The fourth proportional to 11,552.20, 15,942.03 and 6,516.41 is: 8,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.20 : 15,942.03 = 6,516.41 : x
  2. Step 2: Convert to fraction form
    11,552.20/15,942.03 = 6,516.41/x
  3. Step 3: Cross multiply
    11,552.20x = 15,942.03 × 6,516.41
  4. Step 4: Simplify right side
    11,552.20x = 103,884,761.18
  5. Step 5: Solve for x
    x = 103,884,761.18/11,552.20
  6. Step 6: Final answer
    x = 8,992.64

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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.