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Finding the Fourth Proportional to 9,201.72, 13,794.24 and 3,354.24

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Solution

The fourth proportional to 9,201.72, 13,794.24 and 3,354.24 is: 5,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.72 : 13,794.24 = 3,354.24 : x
  2. Step 2: Convert to fraction form
    9,201.72/13,794.24 = 3,354.24/x
  3. Step 3: Cross multiply
    9,201.72x = 13,794.24 × 3,354.24
  4. Step 4: Simplify right side
    9,201.72x = 46,269,191.58
  5. Step 5: Solve for x
    x = 46,269,191.58/9,201.72
  6. Step 6: Final answer
    x = 5,028.32

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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.