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Finding the Fourth Proportional to 6,754.39, 9,321.63 and 3,769.84

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Solution

The fourth proportional to 6,754.39, 9,321.63 and 3,769.84 is: 5,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.39 : 9,321.63 = 3,769.84 : x
  2. Step 2: Convert to fraction form
    6,754.39/9,321.63 = 3,769.84/x
  3. Step 3: Cross multiply
    6,754.39x = 9,321.63 × 3,769.84
  4. Step 4: Simplify right side
    6,754.39x = 35,141,053.64
  5. Step 5: Solve for x
    x = 35,141,053.64/6,754.39
  6. Step 6: Final answer
    x = 5,202.70

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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.