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Finding the Fourth Proportional to 17,462, 26,197.32 and 5,150

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Solution

The fourth proportional to 17,462, 26,197.32 and 5,150 is: 7,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462 : 26,197.32 = 5,150 : x
  2. Step 2: Convert to fraction form
    17,462/26,197.32 = 5,150/x
  3. Step 3: Cross multiply
    17,462x = 26,197.32 × 5,150
  4. Step 4: Simplify right side
    17,462x = 134,916,198
  5. Step 5: Solve for x
    x = 134,916,198/17,462
  6. Step 6: Final answer
    x = 7,726.27

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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.