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Finding the Fourth Proportional to 6,736, 10,100.48 and 3,035.04

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Solution

The fourth proportional to 6,736, 10,100.48 and 3,035.04 is: 4,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 10,100.48 = 3,035.04 : x
  2. Step 2: Convert to fraction form
    6,736/10,100.48 = 3,035.04/x
  3. Step 3: Cross multiply
    6,736x = 10,100.48 × 3,035.04
  4. Step 4: Simplify right side
    6,736x = 30,655,360.82
  5. Step 5: Solve for x
    x = 30,655,360.82/6,736
  6. Step 6: Final answer
    x = 4,550.97

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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.