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Finding the Fourth Proportional to 11,593.92, 16,002.08 and 7,401.44

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Solution

The fourth proportional to 11,593.92, 16,002.08 and 7,401.44 is: 10,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.92 : 16,002.08 = 7,401.44 : x
  2. Step 2: Convert to fraction form
    11,593.92/16,002.08 = 7,401.44/x
  3. Step 3: Cross multiply
    11,593.92x = 16,002.08 × 7,401.44
  4. Step 4: Simplify right side
    11,593.92x = 118,438,435.00
  5. Step 5: Solve for x
    x = 118,438,435.00/11,593.92
  6. Step 6: Final answer
    x = 10,215.56

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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.