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Finding the Fourth Proportional to 11,105.60, 16,596.97 and 9,949.22

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Solution

The fourth proportional to 11,105.60, 16,596.97 and 9,949.22 is: 14,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.60 : 16,596.97 = 9,949.22 : x
  2. Step 2: Convert to fraction form
    11,105.60/16,596.97 = 9,949.22/x
  3. Step 3: Cross multiply
    11,105.60x = 16,596.97 × 9,949.22
  4. Step 4: Simplify right side
    11,105.60x = 165,126,905.86
  5. Step 5: Solve for x
    x = 165,126,905.86/11,105.60
  6. Step 6: Final answer
    x = 14,868.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.