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Finding the Fourth Proportional to 6,604.75, 9,903.99 and 3,832.27

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Solution

The fourth proportional to 6,604.75, 9,903.99 and 3,832.27 is: 5,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.75 : 9,903.99 = 3,832.27 : x
  2. Step 2: Convert to fraction form
    6,604.75/9,903.99 = 3,832.27/x
  3. Step 3: Cross multiply
    6,604.75x = 9,903.99 × 3,832.27
  4. Step 4: Simplify right side
    6,604.75x = 37,954,763.76
  5. Step 5: Solve for x
    x = 37,954,763.76/6,604.75
  6. Step 6: Final answer
    x = 5,746.59

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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.