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Finding the Fourth Proportional to 6,809.92, 10,214.10 and 2,366.73

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Solution

The fourth proportional to 6,809.92, 10,214.10 and 2,366.73 is: 3,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.92 : 10,214.10 = 2,366.73 : x
  2. Step 2: Convert to fraction form
    6,809.92/10,214.10 = 2,366.73/x
  3. Step 3: Cross multiply
    6,809.92x = 10,214.10 × 2,366.73
  4. Step 4: Simplify right side
    6,809.92x = 24,174,016.89
  5. Step 5: Solve for x
    x = 24,174,016.89/6,809.92
  6. Step 6: Final answer
    x = 3,549.83

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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.