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Finding the Fourth Proportional to 6,825.40, 9,414 and 4,170.62

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Solution

The fourth proportional to 6,825.40, 9,414 and 4,170.62 is: 5,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.40 : 9,414 = 4,170.62 : x
  2. Step 2: Convert to fraction form
    6,825.40/9,414 = 4,170.62/x
  3. Step 3: Cross multiply
    6,825.40x = 9,414 × 4,170.62
  4. Step 4: Simplify right side
    6,825.40x = 39,262,216.68
  5. Step 5: Solve for x
    x = 39,262,216.68/6,825.40
  6. Step 6: Final answer
    x = 5,752.37

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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.