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Finding the Fourth Proportional to 9,249.25, 12,763.97 and 5,943.01

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Solution

The fourth proportional to 9,249.25, 12,763.97 and 5,943.01 is: 8,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.25 : 12,763.97 = 5,943.01 : x
  2. Step 2: Convert to fraction form
    9,249.25/12,763.97 = 5,943.01/x
  3. Step 3: Cross multiply
    9,249.25x = 12,763.97 × 5,943.01
  4. Step 4: Simplify right side
    9,249.25x = 75,856,401.35
  5. Step 5: Solve for x
    x = 75,856,401.35/9,249.25
  6. Step 6: Final answer
    x = 8,201.36

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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.