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Finding the Fourth Proportional to 5,046.92, 7,571.21 and 1,760.97

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Solution

The fourth proportional to 5,046.92, 7,571.21 and 1,760.97 is: 2,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.92 : 7,571.21 = 1,760.97 : x
  2. Step 2: Convert to fraction form
    5,046.92/7,571.21 = 1,760.97/x
  3. Step 3: Cross multiply
    5,046.92x = 7,571.21 × 1,760.97
  4. Step 4: Simplify right side
    5,046.92x = 13,332,673.67
  5. Step 5: Solve for x
    x = 13,332,673.67/5,046.92
  6. Step 6: Final answer
    x = 2,641.74

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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.