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Finding the Fourth Proportional to 16,648.75, 22,975.28 and 9,196.75

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Solution

The fourth proportional to 16,648.75, 22,975.28 and 9,196.75 is: 12,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.75 : 22,975.28 = 9,196.75 : x
  2. Step 2: Convert to fraction form
    16,648.75/22,975.28 = 9,196.75/x
  3. Step 3: Cross multiply
    16,648.75x = 22,975.28 × 9,196.75
  4. Step 4: Simplify right side
    16,648.75x = 211,297,906.34
  5. Step 5: Solve for x
    x = 211,297,906.34/16,648.75
  6. Step 6: Final answer
    x = 12,691.52

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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.