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Finding the Fourth Proportional to 8,048, 11,102.46 and 5,691.44

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Solution

The fourth proportional to 8,048, 11,102.46 and 5,691.44 is: 7,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 11,102.46 = 5,691.44 : x
  2. Step 2: Convert to fraction form
    8,048/11,102.46 = 5,691.44/x
  3. Step 3: Cross multiply
    8,048x = 11,102.46 × 5,691.44
  4. Step 4: Simplify right side
    8,048x = 63,188,984.94
  5. Step 5: Solve for x
    x = 63,188,984.94/8,048
  6. Step 6: Final answer
    x = 7,851.51

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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.