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Finding the Fourth Proportional to 6,766.71, 9,338.19 and 3,782.76

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Solution

The fourth proportional to 6,766.71, 9,338.19 and 3,782.76 is: 5,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.71 : 9,338.19 = 3,782.76 : x
  2. Step 2: Convert to fraction form
    6,766.71/9,338.19 = 3,782.76/x
  3. Step 3: Cross multiply
    6,766.71x = 9,338.19 × 3,782.76
  4. Step 4: Simplify right side
    6,766.71x = 35,324,131.60
  5. Step 5: Solve for x
    x = 35,324,131.60/6,766.71
  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.