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Finding the Fourth Proportional to 9,107.36, 13,664.36 and 3,843.68

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Solution

The fourth proportional to 9,107.36, 13,664.36 and 3,843.68 is: 5,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.36 : 13,664.36 = 3,843.68 : x
  2. Step 2: Convert to fraction form
    9,107.36/13,664.36 = 3,843.68/x
  3. Step 3: Cross multiply
    9,107.36x = 13,664.36 × 3,843.68
  4. Step 4: Simplify right side
    9,107.36x = 52,521,427.24
  5. Step 5: Solve for x
    x = 52,521,427.24/9,107.36
  6. Step 6: Final answer
    x = 5,766.92

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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.