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Finding the Fourth Proportional to 9,401, 14,101.73 and 3,161.09

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Solution

The fourth proportional to 9,401, 14,101.73 and 3,161.09 is: 4,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401 : 14,101.73 = 3,161.09 : x
  2. Step 2: Convert to fraction form
    9,401/14,101.73 = 3,161.09/x
  3. Step 3: Cross multiply
    9,401x = 14,101.73 × 3,161.09
  4. Step 4: Simplify right side
    9,401x = 44,576,837.69
  5. Step 5: Solve for x
    x = 44,576,837.69/9,401
  6. Step 6: Final answer
    x = 4,741.71

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Double scale
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Similar ratio
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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.