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Finding the Fourth Proportional to 8,251.62, 11,382.19 and 4,892.19

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Solution

The fourth proportional to 8,251.62, 11,382.19 and 4,892.19 is: 6,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.62 : 11,382.19 = 4,892.19 : x
  2. Step 2: Convert to fraction form
    8,251.62/11,382.19 = 4,892.19/x
  3. Step 3: Cross multiply
    8,251.62x = 11,382.19 × 4,892.19
  4. Step 4: Simplify right side
    8,251.62x = 55,683,836.10
  5. Step 5: Solve for x
    x = 55,683,836.10/8,251.62
  6. Step 6: Final answer
    x = 6,748.23

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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.