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Finding the Fourth Proportional to 6,391.71, 9,585 and 3,764.54

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Solution

The fourth proportional to 6,391.71, 9,585 and 3,764.54 is: 5,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.71 : 9,585 = 3,764.54 : x
  2. Step 2: Convert to fraction form
    6,391.71/9,585 = 3,764.54/x
  3. Step 3: Cross multiply
    6,391.71x = 9,585 × 3,764.54
  4. Step 4: Simplify right side
    6,391.71x = 36,083,139.86
  5. Step 5: Solve for x
    x = 36,083,139.86/6,391.71
  6. Step 6: Final answer
    x = 5,645.30

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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.