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Finding the Fourth Proportional to 19,697, 29,550.63 and 5,846

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Solution

The fourth proportional to 19,697, 29,550.63 and 5,846 is: 8,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697 : 29,550.63 = 5,846 : x
  2. Step 2: Convert to fraction form
    19,697/29,550.63 = 5,846/x
  3. Step 3: Cross multiply
    19,697x = 29,550.63 × 5,846
  4. Step 4: Simplify right side
    19,697x = 172,752,982.98
  5. Step 5: Solve for x
    x = 172,752,982.98/19,697
  6. Step 6: Final answer
    x = 8,770.52

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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.