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Finding the Fourth Proportional to 14,442, 21,663 and 3,498

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Solution

The fourth proportional to 14,442, 21,663 and 3,498 is: 5,247

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442 : 21,663 = 3,498 : x
  2. Step 2: Convert to fraction form
    14,442/21,663 = 3,498/x
  3. Step 3: Cross multiply
    14,442x = 21,663 × 3,498
  4. Step 4: Simplify right side
    14,442x = 75,777,174
  5. Step 5: Solve for x
    x = 75,777,174/14,442
  6. Step 6: Final answer
    x = 5,247

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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.