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Finding the Fourth Proportional to 6,644.27, 9,169.14 and 3,811.77

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Solution

The fourth proportional to 6,644.27, 9,169.14 and 3,811.77 is: 5,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.27 : 9,169.14 = 3,811.77 : x
  2. Step 2: Convert to fraction form
    6,644.27/9,169.14 = 3,811.77/x
  3. Step 3: Cross multiply
    6,644.27x = 9,169.14 × 3,811.77
  4. Step 4: Simplify right side
    6,644.27x = 34,950,652.78
  5. Step 5: Solve for x
    x = 34,950,652.78/6,644.27
  6. Step 6: Final answer
    x = 5,260.27

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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.