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Finding the Fourth Proportional to 6,766.84, 9,338.27 and 3,782.80

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Solution

The fourth proportional to 6,766.84, 9,338.27 and 3,782.80 is: 5,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.84 : 9,338.27 = 3,782.80 : x
  2. Step 2: Convert to fraction form
    6,766.84/9,338.27 = 3,782.80/x
  3. Step 3: Cross multiply
    6,766.84x = 9,338.27 × 3,782.80
  4. Step 4: Simplify right side
    6,766.84x = 35,324,769.27
  5. Step 5: Solve for x
    x = 35,324,769.27/6,766.84
  6. Step 6: Final answer
    x = 5,220.28

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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.