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Finding the Fourth Proportional to 6,149.59, 9,224.44 and 1,767.05

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Solution

The fourth proportional to 6,149.59, 9,224.44 and 1,767.05 is: 2,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.59 : 9,224.44 = 1,767.05 : x
  2. Step 2: Convert to fraction form
    6,149.59/9,224.44 = 1,767.05/x
  3. Step 3: Cross multiply
    6,149.59x = 9,224.44 × 1,767.05
  4. Step 4: Simplify right side
    6,149.59x = 16,300,040.69
  5. Step 5: Solve for x
    x = 16,300,040.69/6,149.59
  6. Step 6: Final answer
    x = 2,650.59

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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.