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Finding the Fourth Proportional to 6,149.04, 9,223.47 and 1,766.49

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Solution

The fourth proportional to 6,149.04, 9,223.47 and 1,766.49 is: 2,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.04 : 9,223.47 = 1,766.49 : x
  2. Step 2: Convert to fraction form
    6,149.04/9,223.47 = 1,766.49/x
  3. Step 3: Cross multiply
    6,149.04x = 9,223.47 × 1,766.49
  4. Step 4: Simplify right side
    6,149.04x = 16,293,167.52
  5. Step 5: Solve for x
    x = 16,293,167.52/6,149.04
  6. Step 6: Final answer
    x = 2,649.71

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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.