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Finding the Fourth Proportional to 6,765, 9,335.82 and 3,970.44

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Solution

The fourth proportional to 6,765, 9,335.82 and 3,970.44 is: 5,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 9,335.82 = 3,970.44 : x
  2. Step 2: Convert to fraction form
    6,765/9,335.82 = 3,970.44/x
  3. Step 3: Cross multiply
    6,765x = 9,335.82 × 3,970.44
  4. Step 4: Simplify right side
    6,765x = 37,067,313.16
  5. Step 5: Solve for x
    x = 37,067,313.16/6,765
  6. Step 6: Final answer
    x = 5,479.28

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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.