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Finding the Fourth Proportional to 11,616.60, 16,009.02 and 11,443.80

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Solution

The fourth proportional to 11,616.60, 16,009.02 and 11,443.80 is: 15,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.60 : 16,009.02 = 11,443.80 : x
  2. Step 2: Convert to fraction form
    11,616.60/16,009.02 = 11,443.80/x
  3. Step 3: Cross multiply
    11,616.60x = 16,009.02 × 11,443.80
  4. Step 4: Simplify right side
    11,616.60x = 183,204,023.08
  5. Step 5: Solve for x
    x = 183,204,023.08/11,616.60
  6. Step 6: Final answer
    x = 15,770.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.