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Finding the Fourth Proportional to 3,512.59, 5,271.49 and 1,663.71

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Solution

The fourth proportional to 3,512.59, 5,271.49 and 1,663.71 is: 2,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.59 : 5,271.49 = 1,663.71 : x
  2. Step 2: Convert to fraction form
    3,512.59/5,271.49 = 1,663.71/x
  3. Step 3: Cross multiply
    3,512.59x = 5,271.49 × 1,663.71
  4. Step 4: Simplify right side
    3,512.59x = 8,770,227.68
  5. Step 5: Solve for x
    x = 8,770,227.68/3,512.59
  6. Step 6: Final answer
    x = 2,496.80

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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.