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Finding the Fourth Proportional to 5,414.92, 7,473.54 and 5,168.68

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Solution

The fourth proportional to 5,414.92, 7,473.54 and 5,168.68 is: 7,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.92 : 7,473.54 = 5,168.68 : x
  2. Step 2: Convert to fraction form
    5,414.92/7,473.54 = 5,168.68/x
  3. Step 3: Cross multiply
    5,414.92x = 7,473.54 × 5,168.68
  4. Step 4: Simplify right side
    5,414.92x = 38,628,336.73
  5. Step 5: Solve for x
    x = 38,628,336.73/5,414.92
  6. Step 6: Final answer
    x = 7,133.69

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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.