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Finding the Fourth Proportional to 6,684.75, 10,027.05 and 2,735.19

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Solution

The fourth proportional to 6,684.75, 10,027.05 and 2,735.19 is: 4,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.75 : 10,027.05 = 2,735.19 : x
  2. Step 2: Convert to fraction form
    6,684.75/10,027.05 = 2,735.19/x
  3. Step 3: Cross multiply
    6,684.75x = 10,027.05 × 2,735.19
  4. Step 4: Simplify right side
    6,684.75x = 27,425,886.89
  5. Step 5: Solve for x
    x = 27,425,886.89/6,684.75
  6. Step 6: Final answer
    x = 4,102.75

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