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Finding the Fourth Proportional to 6,593.43, 9,874.95 and 3,813.21

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Solution

The fourth proportional to 6,593.43, 9,874.95 and 3,813.21 is: 5,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.43 : 9,874.95 = 3,813.21 : x
  2. Step 2: Convert to fraction form
    6,593.43/9,874.95 = 3,813.21/x
  3. Step 3: Cross multiply
    6,593.43x = 9,874.95 × 3,813.21
  4. Step 4: Simplify right side
    6,593.43x = 37,655,243.79
  5. Step 5: Solve for x
    x = 37,655,243.79/6,593.43
  6. Step 6: Final answer
    x = 5,711.02

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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.