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Finding the Fourth Proportional to 16,649.52, 22,976.32 and 9,197.52

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Solution

The fourth proportional to 16,649.52, 22,976.32 and 9,197.52 is: 12,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.52 : 22,976.32 = 9,197.52 : x
  2. Step 2: Convert to fraction form
    16,649.52/22,976.32 = 9,197.52/x
  3. Step 3: Cross multiply
    16,649.52x = 22,976.32 × 9,197.52
  4. Step 4: Simplify right side
    16,649.52x = 211,325,162.73
  5. Step 5: Solve for x
    x = 211,325,162.73/16,649.52
  6. Step 6: Final answer
    x = 12,692.57

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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.