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Finding the Fourth Proportional to 12,205.44, 16,843.50 and 6,616.44

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Solution

The fourth proportional to 12,205.44, 16,843.50 and 6,616.44 is: 9,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.44 : 16,843.50 = 6,616.44 : x
  2. Step 2: Convert to fraction form
    12,205.44/16,843.50 = 6,616.44/x
  3. Step 3: Cross multiply
    12,205.44x = 16,843.50 × 6,616.44
  4. Step 4: Simplify right side
    12,205.44x = 111,444,007.14
  5. Step 5: Solve for x
    x = 111,444,007.14/12,205.44
  6. Step 6: Final answer
    x = 9,130.68

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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.