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Finding the Fourth Proportional to 6,183.74, 8,532.60 and 3,947.47

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Solution

The fourth proportional to 6,183.74, 8,532.60 and 3,947.47 is: 5,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.74 : 8,532.60 = 3,947.47 : x
  2. Step 2: Convert to fraction form
    6,183.74/8,532.60 = 3,947.47/x
  3. Step 3: Cross multiply
    6,183.74x = 8,532.60 × 3,947.47
  4. Step 4: Simplify right side
    6,183.74x = 33,682,182.52
  5. Step 5: Solve for x
    x = 33,682,182.52/6,183.74
  6. Step 6: Final answer
    x = 5,446.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.