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Finding the Fourth Proportional to 7,219.66, 10,825.44 and 3,514

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Solution

The fourth proportional to 7,219.66, 10,825.44 and 3,514 is: 5,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.66 : 10,825.44 = 3,514 : x
  2. Step 2: Convert to fraction form
    7,219.66/10,825.44 = 3,514/x
  3. Step 3: Cross multiply
    7,219.66x = 10,825.44 × 3,514
  4. Step 4: Simplify right side
    7,219.66x = 38,040,596.16
  5. Step 5: Solve for x
    x = 38,040,596.16/7,219.66
  6. Step 6: Final answer
    x = 5,269.03

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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.