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Finding the Fourth Proportional to 6,604.68, 9,114.12 and 3,810

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Solution

The fourth proportional to 6,604.68, 9,114.12 and 3,810 is: 5,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.68 : 9,114.12 = 3,810 : x
  2. Step 2: Convert to fraction form
    6,604.68/9,114.12 = 3,810/x
  3. Step 3: Cross multiply
    6,604.68x = 9,114.12 × 3,810
  4. Step 4: Simplify right side
    6,604.68x = 34,724,797.20
  5. Step 5: Solve for x
    x = 34,724,797.20/6,604.68
  6. Step 6: Final answer
    x = 5,257.60

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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.