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Finding the Fourth Proportional to 11,646, 17,469.58 and 3,327.24

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Solution

The fourth proportional to 11,646, 17,469.58 and 3,327.24 is: 4,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 17,469.58 = 3,327.24 : x
  2. Step 2: Convert to fraction form
    11,646/17,469.58 = 3,327.24/x
  3. Step 3: Cross multiply
    11,646x = 17,469.58 × 3,327.24
  4. Step 4: Simplify right side
    11,646x = 58,125,485.36
  5. Step 5: Solve for x
    x = 58,125,485.36/11,646
  6. Step 6: Final answer
    x = 4,991.03

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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.