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Finding the Fourth Proportional to 13,954.89, 20,938.11 and 5,640.78

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Solution

The fourth proportional to 13,954.89, 20,938.11 and 5,640.78 is: 8,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.89 : 20,938.11 = 5,640.78 : x
  2. Step 2: Convert to fraction form
    13,954.89/20,938.11 = 5,640.78/x
  3. Step 3: Cross multiply
    13,954.89x = 20,938.11 × 5,640.78
  4. Step 4: Simplify right side
    13,954.89x = 118,107,272.13
  5. Step 5: Solve for x
    x = 118,107,272.13/13,954.89
  6. Step 6: Final answer
    x = 8,463.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.