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Finding the Fourth Proportional to 6,738.59, 9,298.96 and 3,754.75

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Solution

The fourth proportional to 6,738.59, 9,298.96 and 3,754.75 is: 5,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.59 : 9,298.96 = 3,754.75 : x
  2. Step 2: Convert to fraction form
    6,738.59/9,298.96 = 3,754.75/x
  3. Step 3: Cross multiply
    6,738.59x = 9,298.96 × 3,754.75
  4. Step 4: Simplify right side
    6,738.59x = 34,915,270.06
  5. Step 5: Solve for x
    x = 34,915,270.06/6,738.59
  6. Step 6: Final answer
    x = 5,181.39

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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.