Home / 6,464.82-9,697.92-2,305.26

Finding the Fourth Proportional to 6,464.82, 9,697.92 and 2,305.26

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Solution

The fourth proportional to 6,464.82, 9,697.92 and 2,305.26 is: 3,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.82 : 9,697.92 = 2,305.26 : x
  2. Step 2: Convert to fraction form
    6,464.82/9,697.92 = 2,305.26/x
  3. Step 3: Cross multiply
    6,464.82x = 9,697.92 × 2,305.26
  4. Step 4: Simplify right side
    6,464.82x = 22,356,227.06
  5. Step 5: Solve for x
    x = 22,356,227.06/6,464.82
  6. Step 6: Final answer
    x = 3,458.14

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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.