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Finding the Fourth Proportional to 6,149.06, 9,223.91 and 1,766.10

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Solution

The fourth proportional to 6,149.06, 9,223.91 and 1,766.10 is: 2,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.06 : 9,223.91 = 1,766.10 : x
  2. Step 2: Convert to fraction form
    6,149.06/9,223.91 = 1,766.10/x
  3. Step 3: Cross multiply
    6,149.06x = 9,223.91 × 1,766.10
  4. Step 4: Simplify right side
    6,149.06x = 16,290,347.45
  5. Step 5: Solve for x
    x = 16,290,347.45/6,149.06
  6. Step 6: Final answer
    x = 2,649.24

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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.