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Finding the Fourth Proportional to 6,062.50, 9,077.91 and 4,105.54

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Solution

The fourth proportional to 6,062.50, 9,077.91 and 4,105.54 is: 6,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.50 : 9,077.91 = 4,105.54 : x
  2. Step 2: Convert to fraction form
    6,062.50/9,077.91 = 4,105.54/x
  3. Step 3: Cross multiply
    6,062.50x = 9,077.91 × 4,105.54
  4. Step 4: Simplify right side
    6,062.50x = 37,269,722.62
  5. Step 5: Solve for x
    x = 37,269,722.62/6,062.50
  6. Step 6: Final answer
    x = 6,147.58

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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.