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Finding the Fourth Proportional to 7,153.92, 9,885.24 and 5,593.86

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Solution

The fourth proportional to 7,153.92, 9,885.24 and 5,593.86 is: 7,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.92 : 9,885.24 = 5,593.86 : x
  2. Step 2: Convert to fraction form
    7,153.92/9,885.24 = 5,593.86/x
  3. Step 3: Cross multiply
    7,153.92x = 9,885.24 × 5,593.86
  4. Step 4: Simplify right side
    7,153.92x = 55,296,648.63
  5. Step 5: Solve for x
    x = 55,296,648.63/7,153.92
  6. Step 6: Final answer
    x = 7,729.56

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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.