Home / 6,782.88-10,174.32-2,166.24

Finding the Fourth Proportional to 6,782.88, 10,174.32 and 2,166.24

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Solution

The fourth proportional to 6,782.88, 10,174.32 and 2,166.24 is: 3,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.88 : 10,174.32 = 2,166.24 : x
  2. Step 2: Convert to fraction form
    6,782.88/10,174.32 = 2,166.24/x
  3. Step 3: Cross multiply
    6,782.88x = 10,174.32 × 2,166.24
  4. Step 4: Simplify right side
    6,782.88x = 22,040,018.96
  5. Step 5: Solve for x
    x = 22,040,018.96/6,782.88
  6. Step 6: Final answer
    x = 3,249.36

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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.