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Finding the Fourth Proportional to 11,197.60, 16,796.40 and 7,511.20

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Solution

The fourth proportional to 11,197.60, 16,796.40 and 7,511.20 is: 11,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.60 : 16,796.40 = 7,511.20 : x
  2. Step 2: Convert to fraction form
    11,197.60/16,796.40 = 7,511.20/x
  3. Step 3: Cross multiply
    11,197.60x = 16,796.40 × 7,511.20
  4. Step 4: Simplify right side
    11,197.60x = 126,161,119.68
  5. Step 5: Solve for x
    x = 126,161,119.68/11,197.60
  6. Step 6: Final answer
    x = 11,266.80

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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.