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Finding the Fourth Proportional to 6,229.12, 9,345.12 and 1,847.92

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Solution

The fourth proportional to 6,229.12, 9,345.12 and 1,847.92 is: 2,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.12 : 9,345.12 = 1,847.92 : x
  2. Step 2: Convert to fraction form
    6,229.12/9,345.12 = 1,847.92/x
  3. Step 3: Cross multiply
    6,229.12x = 9,345.12 × 1,847.92
  4. Step 4: Simplify right side
    6,229.12x = 17,269,034.15
  5. Step 5: Solve for x
    x = 17,269,034.15/6,229.12
  6. Step 6: Final answer
    x = 2,772.31

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1.5x scale

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.