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Finding the Fourth Proportional to 6,854.60, 10,282.62 and 2,237

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Solution

The fourth proportional to 6,854.60, 10,282.62 and 2,237 is: 3,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.60 : 10,282.62 = 2,237 : x
  2. Step 2: Convert to fraction form
    6,854.60/10,282.62 = 2,237/x
  3. Step 3: Cross multiply
    6,854.60x = 10,282.62 × 2,237
  4. Step 4: Simplify right side
    6,854.60x = 23,002,220.94
  5. Step 5: Solve for x
    x = 23,002,220.94/6,854.60
  6. Step 6: Final answer
    x = 3,355.73

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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.