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Finding the Fourth Proportional to 9,593.68, 13,239.84 and 5,402.56

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Solution

The fourth proportional to 9,593.68, 13,239.84 and 5,402.56 is: 7,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.68 : 13,239.84 = 5,402.56 : x
  2. Step 2: Convert to fraction form
    9,593.68/13,239.84 = 5,402.56/x
  3. Step 3: Cross multiply
    9,593.68x = 13,239.84 × 5,402.56
  4. Step 4: Simplify right side
    9,593.68x = 71,529,029.99
  5. Step 5: Solve for x
    x = 71,529,029.99/9,593.68
  6. Step 6: Final answer
    x = 7,455.85

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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.