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Finding the Fourth Proportional to 7,193.61, 10,793 and 2,514.31

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Solution

The fourth proportional to 7,193.61, 10,793 and 2,514.31 is: 3,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.61 : 10,793 = 2,514.31 : x
  2. Step 2: Convert to fraction form
    7,193.61/10,793 = 2,514.31/x
  3. Step 3: Cross multiply
    7,193.61x = 10,793 × 2,514.31
  4. Step 4: Simplify right side
    7,193.61x = 27,136,947.83
  5. Step 5: Solve for x
    x = 27,136,947.83/7,193.61
  6. Step 6: Final answer
    x = 3,772.37

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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.