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Finding the Fourth Proportional to 12,273.75, 16,937.78 and 6,684.75

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Solution

The fourth proportional to 12,273.75, 16,937.78 and 6,684.75 is: 9,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.75 : 16,937.78 = 6,684.75 : x
  2. Step 2: Convert to fraction form
    12,273.75/16,937.78 = 6,684.75/x
  3. Step 3: Cross multiply
    12,273.75x = 16,937.78 × 6,684.75
  4. Step 4: Simplify right side
    12,273.75x = 113,224,791.43
  5. Step 5: Solve for x
    x = 113,224,791.43/12,273.75
  6. Step 6: Final answer
    x = 9,224.96

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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.