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Finding the Fourth Proportional to 5,375, 7,414.98 and 3,803.96

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Solution

The fourth proportional to 5,375, 7,414.98 and 3,803.96 is: 5,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375 : 7,414.98 = 3,803.96 : x
  2. Step 2: Convert to fraction form
    5,375/7,414.98 = 3,803.96/x
  3. Step 3: Cross multiply
    5,375x = 7,414.98 × 3,803.96
  4. Step 4: Simplify right side
    5,375x = 28,206,287.32
  5. Step 5: Solve for x
    x = 28,206,287.32/5,375
  6. Step 6: Final answer
    x = 5,247.68

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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.