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Finding the Fourth Proportional to 6,822.73, 10,234.10 and 1,891.96

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Solution

The fourth proportional to 6,822.73, 10,234.10 and 1,891.96 is: 2,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.73 : 10,234.10 = 1,891.96 : x
  2. Step 2: Convert to fraction form
    6,822.73/10,234.10 = 1,891.96/x
  3. Step 3: Cross multiply
    6,822.73x = 10,234.10 × 1,891.96
  4. Step 4: Simplify right side
    6,822.73x = 19,362,476.34
  5. Step 5: Solve for x
    x = 19,362,476.34/6,822.73
  6. Step 6: Final answer
    x = 2,837.94

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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.