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Finding the Fourth Proportional to 8,137.26, 11,223.26 and 5,906.52

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Solution

The fourth proportional to 8,137.26, 11,223.26 and 5,906.52 is: 8,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.26 : 11,223.26 = 5,906.52 : x
  2. Step 2: Convert to fraction form
    8,137.26/11,223.26 = 5,906.52/x
  3. Step 3: Cross multiply
    8,137.26x = 11,223.26 × 5,906.52
  4. Step 4: Simplify right side
    8,137.26x = 66,290,402.27
  5. Step 5: Solve for x
    x = 66,290,402.27/8,137.26
  6. Step 6: Final answer
    x = 8,146.53

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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.