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Finding the Fourth Proportional to 6,393.60, 9,593.28 and 2,698.56

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Solution

The fourth proportional to 6,393.60, 9,593.28 and 2,698.56 is: 4,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.60 : 9,593.28 = 2,698.56 : x
  2. Step 2: Convert to fraction form
    6,393.60/9,593.28 = 2,698.56/x
  3. Step 3: Cross multiply
    6,393.60x = 9,593.28 × 2,698.56
  4. Step 4: Simplify right side
    6,393.60x = 25,888,041.68
  5. Step 5: Solve for x
    x = 25,888,041.68/6,393.60
  6. Step 6: Final answer
    x = 4,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.