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Finding the Fourth Proportional to 6,101.92, 9,149.60 and 1,940.80

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Solution

The fourth proportional to 6,101.92, 9,149.60 and 1,940.80 is: 2,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.92 : 9,149.60 = 1,940.80 : x
  2. Step 2: Convert to fraction form
    6,101.92/9,149.60 = 1,940.80/x
  3. Step 3: Cross multiply
    6,101.92x = 9,149.60 × 1,940.80
  4. Step 4: Simplify right side
    6,101.92x = 17,757,543.68
  5. Step 5: Solve for x
    x = 17,757,543.68/6,101.92
  6. Step 6: Final answer
    x = 2,910.16

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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.