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Finding the Fourth Proportional to 27,471.14, 41,206.71 and 6,694.64

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Solution

The fourth proportional to 27,471.14, 41,206.71 and 6,694.64 is: 10,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.14 : 41,206.71 = 6,694.64 : x
  2. Step 2: Convert to fraction form
    27,471.14/41,206.71 = 6,694.64/x
  3. Step 3: Cross multiply
    27,471.14x = 41,206.71 × 6,694.64
  4. Step 4: Simplify right side
    27,471.14x = 275,864,192.05
  5. Step 5: Solve for x
    x = 275,864,192.05/27,471.14
  6. Step 6: Final answer
    x = 10,041.96

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1.5x scale

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.