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Finding the Fourth Proportional to 6,856.94, 10,286.94 and 2,176.92

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Solution

The fourth proportional to 6,856.94, 10,286.94 and 2,176.92 is: 3,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.94 : 10,286.94 = 2,176.92 : x
  2. Step 2: Convert to fraction form
    6,856.94/10,286.94 = 2,176.92/x
  3. Step 3: Cross multiply
    6,856.94x = 10,286.94 × 2,176.92
  4. Step 4: Simplify right side
    6,856.94x = 22,393,845.42
  5. Step 5: Solve for x
    x = 22,393,845.42/6,856.94
  6. Step 6: Final answer
    x = 3,265.87

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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.