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Finding the Fourth Proportional to 6,149.46, 9,224.24 and 1,532.46

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Solution

The fourth proportional to 6,149.46, 9,224.24 and 1,532.46 is: 2,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.46 : 9,224.24 = 1,532.46 : x
  2. Step 2: Convert to fraction form
    6,149.46/9,224.24 = 1,532.46/x
  3. Step 3: Cross multiply
    6,149.46x = 9,224.24 × 1,532.46
  4. Step 4: Simplify right side
    6,149.46x = 14,135,778.83
  5. Step 5: Solve for x
    x = 14,135,778.83/6,149.46
  6. Step 6: Final answer
    x = 2,298.70

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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.