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Finding the Fourth Proportional to 7,493, 10,340.34 and 4,181

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Solution

The fourth proportional to 7,493, 10,340.34 and 4,181 is: 5,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493 : 10,340.34 = 4,181 : x
  2. Step 2: Convert to fraction form
    7,493/10,340.34 = 4,181/x
  3. Step 3: Cross multiply
    7,493x = 10,340.34 × 4,181
  4. Step 4: Simplify right side
    7,493x = 43,232,961.54
  5. Step 5: Solve for x
    x = 43,232,961.54/7,493
  6. Step 6: Final answer
    x = 5,769.78

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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.