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Finding the Fourth Proportional to 13,411.99, 18,505.84 and 8,107.09

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Solution

The fourth proportional to 13,411.99, 18,505.84 and 8,107.09 is: 11,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.99 : 18,505.84 = 8,107.09 : x
  2. Step 2: Convert to fraction form
    13,411.99/18,505.84 = 8,107.09/x
  3. Step 3: Cross multiply
    13,411.99x = 18,505.84 × 8,107.09
  4. Step 4: Simplify right side
    13,411.99x = 150,028,469.87
  5. Step 5: Solve for x
    x = 150,028,469.87/13,411.99
  6. Step 6: Final answer
    x = 11,186.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.