Home / 6,821-9,412.84-3,796.08

Finding the Fourth Proportional to 6,821, 9,412.84 and 3,796.08

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Solution

The fourth proportional to 6,821, 9,412.84 and 3,796.08 is: 5,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821 : 9,412.84 = 3,796.08 : x
  2. Step 2: Convert to fraction form
    6,821/9,412.84 = 3,796.08/x
  3. Step 3: Cross multiply
    6,821x = 9,412.84 × 3,796.08
  4. Step 4: Simplify right side
    6,821x = 35,731,893.67
  5. Step 5: Solve for x
    x = 35,731,893.67/6,821
  6. Step 6: Final answer
    x = 5,238.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.