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Finding the Fourth Proportional to 6,768, 10,154.31 and 3,648.33

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Solution

The fourth proportional to 6,768, 10,154.31 and 3,648.33 is: 5,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 10,154.31 = 3,648.33 : x
  2. Step 2: Convert to fraction form
    6,768/10,154.31 = 3,648.33/x
  3. Step 3: Cross multiply
    6,768x = 10,154.31 × 3,648.33
  4. Step 4: Simplify right side
    6,768x = 37,046,273.80
  5. Step 5: Solve for x
    x = 37,046,273.80/6,768
  6. Step 6: Final answer
    x = 5,473.74

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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.