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Finding the Fourth Proportional to 8,181, 12,271.50 and 2,638.98

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Solution

The fourth proportional to 8,181, 12,271.50 and 2,638.98 is: 3,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 12,271.50 = 2,638.98 : x
  2. Step 2: Convert to fraction form
    8,181/12,271.50 = 2,638.98/x
  3. Step 3: Cross multiply
    8,181x = 12,271.50 × 2,638.98
  4. Step 4: Simplify right side
    8,181x = 32,384,243.07
  5. Step 5: Solve for x
    x = 32,384,243.07/8,181
  6. Step 6: Final answer
    x = 3,958.47

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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.