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Finding the Fourth Proportional to 13,960.92, 20,947.12 and 5,646.80

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Solution

The fourth proportional to 13,960.92, 20,947.12 and 5,646.80 is: 8,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.92 : 20,947.12 = 5,646.80 : x
  2. Step 2: Convert to fraction form
    13,960.92/20,947.12 = 5,646.80/x
  3. Step 3: Cross multiply
    13,960.92x = 20,947.12 × 5,646.80
  4. Step 4: Simplify right side
    13,960.92x = 118,284,197.22
  5. Step 5: Solve for x
    x = 118,284,197.22/13,960.92
  6. Step 6: Final answer
    x = 8,472.52

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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.