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Finding the Fourth Proportional to 11,704, 17,556.72 and 3,496

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Solution

The fourth proportional to 11,704, 17,556.72 and 3,496 is: 5,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704 : 17,556.72 = 3,496 : x
  2. Step 2: Convert to fraction form
    11,704/17,556.72 = 3,496/x
  3. Step 3: Cross multiply
    11,704x = 17,556.72 × 3,496
  4. Step 4: Simplify right side
    11,704x = 61,378,293.12
  5. Step 5: Solve for x
    x = 61,378,293.12/11,704
  6. Step 6: Final answer
    x = 5,244.22

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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.