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Finding the Fourth Proportional to 8,149.92, 12,219.96 and 4,447.00

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Solution

The fourth proportional to 8,149.92, 12,219.96 and 4,447.00 is: 6,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.92 : 12,219.96 = 4,447.00 : x
  2. Step 2: Convert to fraction form
    8,149.92/12,219.96 = 4,447.00/x
  3. Step 3: Cross multiply
    8,149.92x = 12,219.96 × 4,447.00
  4. Step 4: Simplify right side
    8,149.92x = 54,342,194.07
  5. Step 5: Solve for x
    x = 54,342,194.07/8,149.92
  6. Step 6: Final answer
    x = 6,667.82

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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.