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Finding the Fourth Proportional to 8,324.25, 11,546.34 and 8,025.02

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Solution

The fourth proportional to 8,324.25, 11,546.34 and 8,025.02 is: 11,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.25 : 11,546.34 = 8,025.02 : x
  2. Step 2: Convert to fraction form
    8,324.25/11,546.34 = 8,025.02/x
  3. Step 3: Cross multiply
    8,324.25x = 11,546.34 × 8,025.02
  4. Step 4: Simplify right side
    8,324.25x = 92,659,551.70
  5. Step 5: Solve for x
    x = 92,659,551.70/8,324.25
  6. Step 6: Final answer
    x = 11,131.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.