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Finding the Fourth Proportional to 6,149.24, 9,224.22 and 1,766.60

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Solution

The fourth proportional to 6,149.24, 9,224.22 and 1,766.60 is: 2,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.24 : 9,224.22 = 1,766.60 : x
  2. Step 2: Convert to fraction form
    6,149.24/9,224.22 = 1,766.60/x
  3. Step 3: Cross multiply
    6,149.24x = 9,224.22 × 1,766.60
  4. Step 4: Simplify right side
    6,149.24x = 16,295,507.05
  5. Step 5: Solve for x
    x = 16,295,507.05/6,149.24
  6. Step 6: Final answer
    x = 2,650.00

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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.