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Finding the Fourth Proportional to 9,230.76, 13,842.71 and 3,682.44

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Solution

The fourth proportional to 9,230.76, 13,842.71 and 3,682.44 is: 5,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.76 : 13,842.71 = 3,682.44 : x
  2. Step 2: Convert to fraction form
    9,230.76/13,842.71 = 3,682.44/x
  3. Step 3: Cross multiply
    9,230.76x = 13,842.71 × 3,682.44
  4. Step 4: Simplify right side
    9,230.76x = 50,974,949.01
  5. Step 5: Solve for x
    x = 50,974,949.01/9,230.76
  6. Step 6: Final answer
    x = 5,522.29

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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.