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Finding the Fourth Proportional to 6,383.82, 9,576.73 and 2,687.10

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Solution

The fourth proportional to 6,383.82, 9,576.73 and 2,687.10 is: 4,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.82 : 9,576.73 = 2,687.10 : x
  2. Step 2: Convert to fraction form
    6,383.82/9,576.73 = 2,687.10/x
  3. Step 3: Cross multiply
    6,383.82x = 9,576.73 × 2,687.10
  4. Step 4: Simplify right side
    6,383.82x = 25,733,598.63
  5. Step 5: Solve for x
    x = 25,733,598.63/6,383.82
  6. Step 6: Final answer
    x = 4,031.07

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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.