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Finding the Fourth Proportional to 6,523.80, 9,785.49 and 1,593.46

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Solution

The fourth proportional to 6,523.80, 9,785.49 and 1,593.46 is: 2,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.80 : 9,785.49 = 1,593.46 : x
  2. Step 2: Convert to fraction form
    6,523.80/9,785.49 = 1,593.46/x
  3. Step 3: Cross multiply
    6,523.80x = 9,785.49 × 1,593.46
  4. Step 4: Simplify right side
    6,523.80x = 15,592,786.90
  5. Step 5: Solve for x
    x = 15,592,786.90/6,523.80
  6. Step 6: Final answer
    x = 2,390.14

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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.