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Finding the Fourth Proportional to 6,764.86, 9,335.54 and 3,780.82

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Solution

The fourth proportional to 6,764.86, 9,335.54 and 3,780.82 is: 5,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.86 : 9,335.54 = 3,780.82 : x
  2. Step 2: Convert to fraction form
    6,764.86/9,335.54 = 3,780.82/x
  3. Step 3: Cross multiply
    6,764.86x = 9,335.54 × 3,780.82
  4. Step 4: Simplify right side
    6,764.86x = 35,295,982.46
  5. Step 5: Solve for x
    x = 35,295,982.46/6,764.86
  6. Step 6: Final answer
    x = 5,217.55

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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.