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Finding the Fourth Proportional to 6,616.43, 9,131.00 and 3,632.24

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Solution

The fourth proportional to 6,616.43, 9,131.00 and 3,632.24 is: 5,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.43 : 9,131.00 = 3,632.24 : x
  2. Step 2: Convert to fraction form
    6,616.43/9,131.00 = 3,632.24/x
  3. Step 3: Cross multiply
    6,616.43x = 9,131.00 × 3,632.24
  4. Step 4: Simplify right side
    6,616.43x = 33,165,919.62
  5. Step 5: Solve for x
    x = 33,165,919.62/6,616.43
  6. Step 6: Final answer
    x = 5,012.66

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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.