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Finding the Fourth Proportional to 6,834.59, 9,434.07 and 4,249.55

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Solution

The fourth proportional to 6,834.59, 9,434.07 and 4,249.55 is: 5,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.59 : 9,434.07 = 4,249.55 : x
  2. Step 2: Convert to fraction form
    6,834.59/9,434.07 = 4,249.55/x
  3. Step 3: Cross multiply
    6,834.59x = 9,434.07 × 4,249.55
  4. Step 4: Simplify right side
    6,834.59x = 40,090,575.75
  5. Step 5: Solve for x
    x = 40,090,575.75/6,834.59
  6. Step 6: Final answer
    x = 5,865.83

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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.