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Finding the Fourth Proportional to 9,174.74, 13,762.17 and 2,249.24

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Solution

The fourth proportional to 9,174.74, 13,762.17 and 2,249.24 is: 3,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.74 : 13,762.17 = 2,249.24 : x
  2. Step 2: Convert to fraction form
    9,174.74/13,762.17 = 2,249.24/x
  3. Step 3: Cross multiply
    9,174.74x = 13,762.17 × 2,249.24
  4. Step 4: Simplify right side
    9,174.74x = 30,954,354.44
  5. Step 5: Solve for x
    x = 30,954,354.44/9,174.74
  6. Step 6: Final answer
    x = 3,373.87

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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.