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Finding the Fourth Proportional to 8,149.88, 12,225.24 and 3,152.24

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Solution

The fourth proportional to 8,149.88, 12,225.24 and 3,152.24 is: 4,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.88 : 12,225.24 = 3,152.24 : x
  2. Step 2: Convert to fraction form
    8,149.88/12,225.24 = 3,152.24/x
  3. Step 3: Cross multiply
    8,149.88x = 12,225.24 × 3,152.24
  4. Step 4: Simplify right side
    8,149.88x = 38,536,890.54
  5. Step 5: Solve for x
    x = 38,536,890.54/8,149.88
  6. Step 6: Final answer
    x = 4,728.52

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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.