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Finding the Fourth Proportional to 11,593.92, 16,007.68 and 8,936.96

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Solution

The fourth proportional to 11,593.92, 16,007.68 and 8,936.96 is: 12,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.92 : 16,007.68 = 8,936.96 : x
  2. Step 2: Convert to fraction form
    11,593.92/16,007.68 = 8,936.96/x
  3. Step 3: Cross multiply
    11,593.92x = 16,007.68 × 8,936.96
  4. Step 4: Simplify right side
    11,593.92x = 143,059,995.85
  5. Step 5: Solve for x
    x = 143,059,995.85/11,593.92
  6. Step 6: Final answer
    x = 12,339.23

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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.