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Finding the Fourth Proportional to 16,649, 22,977.08 and 9,198.44

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Solution

The fourth proportional to 16,649, 22,977.08 and 9,198.44 is: 12,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649 : 22,977.08 = 9,198.44 : x
  2. Step 2: Convert to fraction form
    16,649/22,977.08 = 9,198.44/x
  3. Step 3: Cross multiply
    16,649x = 22,977.08 × 9,198.44
  4. Step 4: Simplify right side
    16,649x = 211,353,291.76
  5. Step 5: Solve for x
    x = 211,353,291.76/16,649
  6. Step 6: Final answer
    x = 12,694.65

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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.