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Finding the Fourth Proportional to 6,524.29, 9,786.44 and 1,593.93

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Solution

The fourth proportional to 6,524.29, 9,786.44 and 1,593.93 is: 2,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.29 : 9,786.44 = 1,593.93 : x
  2. Step 2: Convert to fraction form
    6,524.29/9,786.44 = 1,593.93/x
  3. Step 3: Cross multiply
    6,524.29x = 9,786.44 × 1,593.93
  4. Step 4: Simplify right side
    6,524.29x = 15,598,900.31
  5. Step 5: Solve for x
    x = 15,598,900.31/6,524.29
  6. Step 6: Final answer
    x = 2,390.90

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