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Finding the Fourth Proportional to 6,381.57, 9,558.49 and 3,087.75

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Solution

The fourth proportional to 6,381.57, 9,558.49 and 3,087.75 is: 4,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.57 : 9,558.49 = 3,087.75 : x
  2. Step 2: Convert to fraction form
    6,381.57/9,558.49 = 3,087.75/x
  3. Step 3: Cross multiply
    6,381.57x = 9,558.49 × 3,087.75
  4. Step 4: Simplify right side
    6,381.57x = 29,514,227.50
  5. Step 5: Solve for x
    x = 29,514,227.50/6,381.57
  6. Step 6: Final answer
    x = 4,624.92

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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.