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Finding the Fourth Proportional to 6,805.82, 9,391.34 and 3,821.63

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Solution

The fourth proportional to 6,805.82, 9,391.34 and 3,821.63 is: 5,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.82 : 9,391.34 = 3,821.63 : x
  2. Step 2: Convert to fraction form
    6,805.82/9,391.34 = 3,821.63/x
  3. Step 3: Cross multiply
    6,805.82x = 9,391.34 × 3,821.63
  4. Step 4: Simplify right side
    6,805.82x = 35,890,231.05
  5. Step 5: Solve for x
    x = 35,890,231.05/6,805.82
  6. Step 6: Final answer
    x = 5,273.46

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1.5x scale

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.