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Finding the Fourth Proportional to 17,198, 25,798.50 and 4,886

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Solution

The fourth proportional to 17,198, 25,798.50 and 4,886 is: 7,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198 : 25,798.50 = 4,886 : x
  2. Step 2: Convert to fraction form
    17,198/25,798.50 = 4,886/x
  3. Step 3: Cross multiply
    17,198x = 25,798.50 × 4,886
  4. Step 4: Simplify right side
    17,198x = 126,051,471
  5. Step 5: Solve for x
    x = 126,051,471/17,198
  6. Step 6: Final answer
    x = 7,329.43

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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.