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Finding the Fourth Proportional to 11,600.40, 17,400.60 and 11,146.80

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Solution

The fourth proportional to 11,600.40, 17,400.60 and 11,146.80 is: 16,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.40 : 17,400.60 = 11,146.80 : x
  2. Step 2: Convert to fraction form
    11,600.40/17,400.60 = 11,146.80/x
  3. Step 3: Cross multiply
    11,600.40x = 17,400.60 × 11,146.80
  4. Step 4: Simplify right side
    11,600.40x = 193,961,008.08
  5. Step 5: Solve for x
    x = 193,961,008.08/11,600.40
  6. Step 6: Final answer
    x = 16,720.20

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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.