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Finding the Fourth Proportional to 6,383.88, 9,576.23 and 3,096.09

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Solution

The fourth proportional to 6,383.88, 9,576.23 and 3,096.09 is: 4,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.88 : 9,576.23 = 3,096.09 : x
  2. Step 2: Convert to fraction form
    6,383.88/9,576.23 = 3,096.09/x
  3. Step 3: Cross multiply
    6,383.88x = 9,576.23 × 3,096.09
  4. Step 4: Simplify right side
    6,383.88x = 29,648,854.46
  5. Step 5: Solve for x
    x = 29,648,854.46/6,383.88
  6. Step 6: Final answer
    x = 4,644.33

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1.5x scale

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.