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Finding the Fourth Proportional to 11,654, 17,483.96 and 3,446

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Solution

The fourth proportional to 11,654, 17,483.96 and 3,446 is: 5,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654 : 17,483.96 = 3,446 : x
  2. Step 2: Convert to fraction form
    11,654/17,483.96 = 3,446/x
  3. Step 3: Cross multiply
    11,654x = 17,483.96 × 3,446
  4. Step 4: Simplify right side
    11,654x = 60,249,726.16
  5. Step 5: Solve for x
    x = 60,249,726.16/11,654
  6. Step 6: Final answer
    x = 5,169.88

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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.