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Finding the Fourth Proportional to 4,181, 6,270.73 and 1,548.10

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Solution

The fourth proportional to 4,181, 6,270.73 and 1,548.10 is: 2,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 6,270.73 = 1,548.10 : x
  2. Step 2: Convert to fraction form
    4,181/6,270.73 = 1,548.10/x
  3. Step 3: Cross multiply
    4,181x = 6,270.73 × 1,548.10
  4. Step 4: Simplify right side
    4,181x = 9,707,717.11
  5. Step 5: Solve for x
    x = 9,707,717.11/4,181
  6. Step 6: Final answer
    x = 2,321.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.