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Finding the Fourth Proportional to 13,783.75, 20,672.88 and 3,923.11

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Solution

The fourth proportional to 13,783.75, 20,672.88 and 3,923.11 is: 5,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.75 : 20,672.88 = 3,923.11 : x
  2. Step 2: Convert to fraction form
    13,783.75/20,672.88 = 3,923.11/x
  3. Step 3: Cross multiply
    13,783.75x = 20,672.88 × 3,923.11
  4. Step 4: Simplify right side
    13,783.75x = 81,101,982.26
  5. Step 5: Solve for x
    x = 81,101,982.26/13,783.75
  6. Step 6: Final answer
    x = 5,883.88

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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.