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Finding the Fourth Proportional to 12,206.44, 16,844.80 and 6,617.44

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Solution

The fourth proportional to 12,206.44, 16,844.80 and 6,617.44 is: 9,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.44 : 16,844.80 = 6,617.44 : x
  2. Step 2: Convert to fraction form
    12,206.44/16,844.80 = 6,617.44/x
  3. Step 3: Cross multiply
    12,206.44x = 16,844.80 × 6,617.44
  4. Step 4: Simplify right side
    12,206.44x = 111,469,453.31
  5. Step 5: Solve for x
    x = 111,469,453.31/12,206.44
  6. Step 6: Final answer
    x = 9,132.02

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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.