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Finding the Fourth Proportional to 8,921.75, 12,309.25 and 5,144.44

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Solution

The fourth proportional to 8,921.75, 12,309.25 and 5,144.44 is: 7,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.75 : 12,309.25 = 5,144.44 : x
  2. Step 2: Convert to fraction form
    8,921.75/12,309.25 = 5,144.44/x
  3. Step 3: Cross multiply
    8,921.75x = 12,309.25 × 5,144.44
  4. Step 4: Simplify right side
    8,921.75x = 63,324,198.07
  5. Step 5: Solve for x
    x = 63,324,198.07/8,921.75
  6. Step 6: Final answer
    x = 7,097.73

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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.