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Finding the Fourth Proportional to 6,191.91, 9,288.27 and 1,809

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Solution

The fourth proportional to 6,191.91, 9,288.27 and 1,809 is: 2,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.91 : 9,288.27 = 1,809 : x
  2. Step 2: Convert to fraction form
    6,191.91/9,288.27 = 1,809/x
  3. Step 3: Cross multiply
    6,191.91x = 9,288.27 × 1,809
  4. Step 4: Simplify right side
    6,191.91x = 16,802,480.43
  5. Step 5: Solve for x
    x = 16,802,480.43/6,191.91
  6. Step 6: Final answer
    x = 2,713.62

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Double scale
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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.