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Finding the Fourth Proportional to 6,604.50, 9,114.48 and 3,810

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Solution

The fourth proportional to 6,604.50, 9,114.48 and 3,810 is: 5,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.50 : 9,114.48 = 3,810 : x
  2. Step 2: Convert to fraction form
    6,604.50/9,114.48 = 3,810/x
  3. Step 3: Cross multiply
    6,604.50x = 9,114.48 × 3,810
  4. Step 4: Simplify right side
    6,604.50x = 34,726,168.80
  5. Step 5: Solve for x
    x = 34,726,168.80/6,604.50
  6. Step 6: Final answer
    x = 5,257.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.