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Finding the Fourth Proportional to 6,446.75, 9,671.75 and 1,829.75

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Solution

The fourth proportional to 6,446.75, 9,671.75 and 1,829.75 is: 2,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.75 : 9,671.75 = 1,829.75 : x
  2. Step 2: Convert to fraction form
    6,446.75/9,671.75 = 1,829.75/x
  3. Step 3: Cross multiply
    6,446.75x = 9,671.75 × 1,829.75
  4. Step 4: Simplify right side
    6,446.75x = 17,696,884.56
  5. Step 5: Solve for x
    x = 17,696,884.56/6,446.75
  6. Step 6: Final answer
    x = 2,745.09

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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.