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Finding the Fourth Proportional to 6,550.83, 9,827.47 and 2,168.33

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Solution

The fourth proportional to 6,550.83, 9,827.47 and 2,168.33 is: 3,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.83 : 9,827.47 = 2,168.33 : x
  2. Step 2: Convert to fraction form
    6,550.83/9,827.47 = 2,168.33/x
  3. Step 3: Cross multiply
    6,550.83x = 9,827.47 × 2,168.33
  4. Step 4: Simplify right side
    6,550.83x = 21,309,198.03
  5. Step 5: Solve for x
    x = 21,309,198.03/6,550.83
  6. Step 6: Final answer
    x = 3,252.90

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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.