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Finding the Fourth Proportional to 6,550.07, 9,823.98 and 2,167.56

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Solution

The fourth proportional to 6,550.07, 9,823.98 and 2,167.56 is: 3,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.07 : 9,823.98 = 2,167.56 : x
  2. Step 2: Convert to fraction form
    6,550.07/9,823.98 = 2,167.56/x
  3. Step 3: Cross multiply
    6,550.07x = 9,823.98 × 2,167.56
  4. Step 4: Simplify right side
    6,550.07x = 21,294,074.22
  5. Step 5: Solve for x
    x = 21,294,074.22/6,550.07
  6. Step 6: Final answer
    x = 3,250.97

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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.