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Finding the Fourth Proportional to 10,401, 14,353.44 and 6,675

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Solution

The fourth proportional to 10,401, 14,353.44 and 6,675 is: 9,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401 : 14,353.44 = 6,675 : x
  2. Step 2: Convert to fraction form
    10,401/14,353.44 = 6,675/x
  3. Step 3: Cross multiply
    10,401x = 14,353.44 × 6,675
  4. Step 4: Simplify right side
    10,401x = 95,809,212
  5. Step 5: Solve for x
    x = 95,809,212/10,401
  6. Step 6: Final answer
    x = 9,211.54

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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.