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Finding the Fourth Proportional to 14,638.44, 21,960.90 and 6,843

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Solution

The fourth proportional to 14,638.44, 21,960.90 and 6,843 is: 10,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.44 : 21,960.90 = 6,843 : x
  2. Step 2: Convert to fraction form
    14,638.44/21,960.90 = 6,843/x
  3. Step 3: Cross multiply
    14,638.44x = 21,960.90 × 6,843
  4. Step 4: Simplify right side
    14,638.44x = 150,278,438.70
  5. Step 5: Solve for x
    x = 150,278,438.70/14,638.44
  6. Step 6: Final answer
    x = 10,266.01

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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.