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Finding the Fourth Proportional to 8,223.70, 12,334.20 and 3,542.44

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Solution

The fourth proportional to 8,223.70, 12,334.20 and 3,542.44 is: 5,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.70 : 12,334.20 = 3,542.44 : x
  2. Step 2: Convert to fraction form
    8,223.70/12,334.20 = 3,542.44/x
  3. Step 3: Cross multiply
    8,223.70x = 12,334.20 × 3,542.44
  4. Step 4: Simplify right side
    8,223.70x = 43,693,163.45
  5. Step 5: Solve for x
    x = 43,693,163.45/8,223.70
  6. Step 6: Final answer
    x = 5,313.08

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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.