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Finding the Fourth Proportional to 6,578.24, 9,867.12 and 1,647.92

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Solution

The fourth proportional to 6,578.24, 9,867.12 and 1,647.92 is: 2,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.24 : 9,867.12 = 1,647.92 : x
  2. Step 2: Convert to fraction form
    6,578.24/9,867.12 = 1,647.92/x
  3. Step 3: Cross multiply
    6,578.24x = 9,867.12 × 1,647.92
  4. Step 4: Simplify right side
    6,578.24x = 16,260,175.05
  5. Step 5: Solve for x
    x = 16,260,175.05/6,578.24
  6. Step 6: Final answer
    x = 2,471.81

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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.