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Finding the Fourth Proportional to 13,163.17, 18,163.42 and 8,453.83

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Solution

The fourth proportional to 13,163.17, 18,163.42 and 8,453.83 is: 11,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.17 : 18,163.42 = 8,453.83 : x
  2. Step 2: Convert to fraction form
    13,163.17/18,163.42 = 8,453.83/x
  3. Step 3: Cross multiply
    13,163.17x = 18,163.42 × 8,453.83
  4. Step 4: Simplify right side
    13,163.17x = 153,550,464.90
  5. Step 5: Solve for x
    x = 153,550,464.90/13,163.17
  6. Step 6: Final answer
    x = 11,665.16

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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.