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Finding the Fourth Proportional to 6,682.52, 9,221.84 and 3,738.52

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Solution

The fourth proportional to 6,682.52, 9,221.84 and 3,738.52 is: 5,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.52 : 9,221.84 = 3,738.52 : x
  2. Step 2: Convert to fraction form
    6,682.52/9,221.84 = 3,738.52/x
  3. Step 3: Cross multiply
    6,682.52x = 9,221.84 × 3,738.52
  4. Step 4: Simplify right side
    6,682.52x = 34,476,033.28
  5. Step 5: Solve for x
    x = 34,476,033.28/6,682.52
  6. Step 6: Final answer
    x = 5,159.14

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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.