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Finding the Fourth Proportional to 6,806.27, 10,209.42 and 2,423.71

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Solution

The fourth proportional to 6,806.27, 10,209.42 and 2,423.71 is: 3,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.27 : 10,209.42 = 2,423.71 : x
  2. Step 2: Convert to fraction form
    6,806.27/10,209.42 = 2,423.71/x
  3. Step 3: Cross multiply
    6,806.27x = 10,209.42 × 2,423.71
  4. Step 4: Simplify right side
    6,806.27x = 24,744,673.35
  5. Step 5: Solve for x
    x = 24,744,673.35/6,806.27
  6. Step 6: Final answer
    x = 3,635.57

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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.