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Finding the Fourth Proportional to 12,241.25, 16,894.38 and 7,273.25

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Solution

The fourth proportional to 12,241.25, 16,894.38 and 7,273.25 is: 10,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.25 : 16,894.38 = 7,273.25 : x
  2. Step 2: Convert to fraction form
    12,241.25/16,894.38 = 7,273.25/x
  3. Step 3: Cross multiply
    12,241.25x = 16,894.38 × 7,273.25
  4. Step 4: Simplify right side
    12,241.25x = 122,877,049.34
  5. Step 5: Solve for x
    x = 122,877,049.34/12,241.25
  6. Step 6: Final answer
    x = 10,037.95

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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.