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Finding the Fourth Proportional to 13,833, 20,751.75 and 4,475.37

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Solution

The fourth proportional to 13,833, 20,751.75 and 4,475.37 is: 6,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833 : 20,751.75 = 4,475.37 : x
  2. Step 2: Convert to fraction form
    13,833/20,751.75 = 4,475.37/x
  3. Step 3: Cross multiply
    13,833x = 20,751.75 × 4,475.37
  4. Step 4: Simplify right side
    13,833x = 92,871,759.40
  5. Step 5: Solve for x
    x = 92,871,759.40/13,833
  6. Step 6: Final answer
    x = 6,713.78

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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.