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Finding the Fourth Proportional to 6,550.83, 9,824.22 and 2,167.38

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Solution

The fourth proportional to 6,550.83, 9,824.22 and 2,167.38 is: 3,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.83 : 9,824.22 = 2,167.38 : x
  2. Step 2: Convert to fraction form
    6,550.83/9,824.22 = 2,167.38/x
  3. Step 3: Cross multiply
    6,550.83x = 9,824.22 × 2,167.38
  4. Step 4: Simplify right side
    6,550.83x = 21,292,817.94
  5. Step 5: Solve for x
    x = 21,292,817.94/6,550.83
  6. Step 6: Final answer
    x = 3,250.40

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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.