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Finding the Fourth Proportional to 8,401, 12,592.41 and 4,010.62

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Solution

The fourth proportional to 8,401, 12,592.41 and 4,010.62 is: 6,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401 : 12,592.41 = 4,010.62 : x
  2. Step 2: Convert to fraction form
    8,401/12,592.41 = 4,010.62/x
  3. Step 3: Cross multiply
    8,401x = 12,592.41 × 4,010.62
  4. Step 4: Simplify right side
    8,401x = 50,503,371.39
  5. Step 5: Solve for x
    x = 50,503,371.39/8,401
  6. Step 6: Final answer
    x = 6,011.59

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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.