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Finding the Fourth Proportional to 10,401.12, 15,600.06 and 3,474

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Solution

The fourth proportional to 10,401.12, 15,600.06 and 3,474 is: 5,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.12 : 15,600.06 = 3,474 : x
  2. Step 2: Convert to fraction form
    10,401.12/15,600.06 = 3,474/x
  3. Step 3: Cross multiply
    10,401.12x = 15,600.06 × 3,474
  4. Step 4: Simplify right side
    10,401.12x = 54,194,608.44
  5. Step 5: Solve for x
    x = 54,194,608.44/10,401.12
  6. Step 6: Final answer
    x = 5,210.46

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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.