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Finding the Fourth Proportional to 17,651.35, 26,470.09 and 6,404

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Solution

The fourth proportional to 17,651.35, 26,470.09 and 6,404 is: 9,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.35 : 26,470.09 = 6,404 : x
  2. Step 2: Convert to fraction form
    17,651.35/26,470.09 = 6,404/x
  3. Step 3: Cross multiply
    17,651.35x = 26,470.09 × 6,404
  4. Step 4: Simplify right side
    17,651.35x = 169,514,456.36
  5. Step 5: Solve for x
    x = 169,514,456.36/17,651.35
  6. Step 6: Final answer
    x = 9,603.48

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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.