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Finding the Fourth Proportional to 11,671.97, 17,509.01 and 4,650.27

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Solution

The fourth proportional to 11,671.97, 17,509.01 and 4,650.27 is: 6,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.97 : 17,509.01 = 4,650.27 : x
  2. Step 2: Convert to fraction form
    11,671.97/17,509.01 = 4,650.27/x
  3. Step 3: Cross multiply
    11,671.97x = 17,509.01 × 4,650.27
  4. Step 4: Simplify right side
    11,671.97x = 81,421,600.68
  5. Step 5: Solve for x
    x = 81,421,600.68/11,671.97
  6. Step 6: Final answer
    x = 6,975.83

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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.