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Finding the Fourth Proportional to 6,578.43, 9,078.23 and 3,745.66

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Solution

The fourth proportional to 6,578.43, 9,078.23 and 3,745.66 is: 5,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.43 : 9,078.23 = 3,745.66 : x
  2. Step 2: Convert to fraction form
    6,578.43/9,078.23 = 3,745.66/x
  3. Step 3: Cross multiply
    6,578.43x = 9,078.23 × 3,745.66
  4. Step 4: Simplify right side
    6,578.43x = 34,003,898.86
  5. Step 5: Solve for x
    x = 34,003,898.86/6,578.43
  6. Step 6: Final answer
    x = 5,169.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.