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Finding the Fourth Proportional to 6,834.99, 9,431.67 and 4,181.97

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Solution

The fourth proportional to 6,834.99, 9,431.67 and 4,181.97 is: 5,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.99 : 9,431.67 = 4,181.97 : x
  2. Step 2: Convert to fraction form
    6,834.99/9,431.67 = 4,181.97/x
  3. Step 3: Cross multiply
    6,834.99x = 9,431.67 × 4,181.97
  4. Step 4: Simplify right side
    6,834.99x = 39,442,960.99
  5. Step 5: Solve for x
    x = 39,442,960.99/6,834.99
  6. Step 6: Final answer
    x = 5,770.74

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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.