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Finding the Fourth Proportional to 6,428.82, 9,643.21 and 1,811.82

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Solution

The fourth proportional to 6,428.82, 9,643.21 and 1,811.82 is: 2,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.82 : 9,643.21 = 1,811.82 : x
  2. Step 2: Convert to fraction form
    6,428.82/9,643.21 = 1,811.82/x
  3. Step 3: Cross multiply
    6,428.82x = 9,643.21 × 1,811.82
  4. Step 4: Simplify right side
    6,428.82x = 17,471,760.74
  5. Step 5: Solve for x
    x = 17,471,760.74/6,428.82
  6. Step 6: Final answer
    x = 2,717.72

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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.