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Finding the Fourth Proportional to 6,813.43, 9,402.23 and 3,829.19

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Solution

The fourth proportional to 6,813.43, 9,402.23 and 3,829.19 is: 5,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.43 : 9,402.23 = 3,829.19 : x
  2. Step 2: Convert to fraction form
    6,813.43/9,402.23 = 3,829.19/x
  3. Step 3: Cross multiply
    6,813.43x = 9,402.23 × 3,829.19
  4. Step 4: Simplify right side
    6,813.43x = 36,002,958.17
  5. Step 5: Solve for x
    x = 36,002,958.17/6,813.43
  6. Step 6: Final answer
    x = 5,284.12

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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.