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Finding the Fourth Proportional to 8,162.73, 11,253.84 and 5,892.17

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Solution

The fourth proportional to 8,162.73, 11,253.84 and 5,892.17 is: 8,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.73 : 11,253.84 = 5,892.17 : x
  2. Step 2: Convert to fraction form
    8,162.73/11,253.84 = 5,892.17/x
  3. Step 3: Cross multiply
    8,162.73x = 11,253.84 × 5,892.17
  4. Step 4: Simplify right side
    8,162.73x = 66,309,482.16
  5. Step 5: Solve for x
    x = 66,309,482.16/8,162.73
  6. Step 6: Final answer
    x = 8,123.44

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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.