Home / 6,464.34-9,695.70-2,082.06

Finding the Fourth Proportional to 6,464.34, 9,695.70 and 2,082.06

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Solution

The fourth proportional to 6,464.34, 9,695.70 and 2,082.06 is: 3,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.34 : 9,695.70 = 2,082.06 : x
  2. Step 2: Convert to fraction form
    6,464.34/9,695.70 = 2,082.06/x
  3. Step 3: Cross multiply
    6,464.34x = 9,695.70 × 2,082.06
  4. Step 4: Simplify right side
    6,464.34x = 20,187,029.14
  5. Step 5: Solve for x
    x = 20,187,029.14/6,464.34
  6. Step 6: Final answer
    x = 3,122.83

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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.