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Finding the Fourth Proportional to 11,339.50, 16,992.84 and 6,398.70

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Solution

The fourth proportional to 11,339.50, 16,992.84 and 6,398.70 is: 9,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.50 : 16,992.84 = 6,398.70 : x
  2. Step 2: Convert to fraction form
    11,339.50/16,992.84 = 6,398.70/x
  3. Step 3: Cross multiply
    11,339.50x = 16,992.84 × 6,398.70
  4. Step 4: Simplify right side
    11,339.50x = 108,732,085.31
  5. Step 5: Solve for x
    x = 108,732,085.31/11,339.50
  6. Step 6: Final answer
    x = 9,588.79

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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.