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Finding the Fourth Proportional to 4,952.92, 6,834.96 and 2,857

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Solution

The fourth proportional to 4,952.92, 6,834.96 and 2,857 is: 3,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.92 : 6,834.96 = 2,857 : x
  2. Step 2: Convert to fraction form
    4,952.92/6,834.96 = 2,857/x
  3. Step 3: Cross multiply
    4,952.92x = 6,834.96 × 2,857
  4. Step 4: Simplify right side
    4,952.92x = 19,527,480.72
  5. Step 5: Solve for x
    x = 19,527,480.72/4,952.92
  6. Step 6: Final answer
    x = 3,942.62

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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.