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Finding the Fourth Proportional to 6,728.72, 10,091.60 and 2,110.64

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Solution

The fourth proportional to 6,728.72, 10,091.60 and 2,110.64 is: 3,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.72 : 10,091.60 = 2,110.64 : x
  2. Step 2: Convert to fraction form
    6,728.72/10,091.60 = 2,110.64/x
  3. Step 3: Cross multiply
    6,728.72x = 10,091.60 × 2,110.64
  4. Step 4: Simplify right side
    6,728.72x = 21,299,734.62
  5. Step 5: Solve for x
    x = 21,299,734.62/6,728.72
  6. Step 6: Final answer
    x = 3,165.50

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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.