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Finding the Fourth Proportional to 6,567.57, 9,850.12 and 2,125.33

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Solution

The fourth proportional to 6,567.57, 9,850.12 and 2,125.33 is: 3,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.57 : 9,850.12 = 2,125.33 : x
  2. Step 2: Convert to fraction form
    6,567.57/9,850.12 = 2,125.33/x
  3. Step 3: Cross multiply
    6,567.57x = 9,850.12 × 2,125.33
  4. Step 4: Simplify right side
    6,567.57x = 20,934,695.66
  5. Step 5: Solve for x
    x = 20,934,695.66/6,567.57
  6. Step 6: Final answer
    x = 3,187.59

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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.