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Finding the Fourth Proportional to 6,822.27, 10,233.27 and 1,891.80

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Solution

The fourth proportional to 6,822.27, 10,233.27 and 1,891.80 is: 2,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.27 : 10,233.27 = 1,891.80 : x
  2. Step 2: Convert to fraction form
    6,822.27/10,233.27 = 1,891.80/x
  3. Step 3: Cross multiply
    6,822.27x = 10,233.27 × 1,891.80
  4. Step 4: Simplify right side
    6,822.27x = 19,359,300.19
  5. Step 5: Solve for x
    x = 19,359,300.19/6,822.27
  6. Step 6: Final answer
    x = 2,837.66

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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.