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Finding the Fourth Proportional to 8,163, 12,244.64 and 3,546

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Solution

The fourth proportional to 8,163, 12,244.64 and 3,546 is: 5,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163 : 12,244.64 = 3,546 : x
  2. Step 2: Convert to fraction form
    8,163/12,244.64 = 3,546/x
  3. Step 3: Cross multiply
    8,163x = 12,244.64 × 3,546
  4. Step 4: Simplify right side
    8,163x = 43,419,475.71
  5. Step 5: Solve for x
    x = 43,419,475.71/8,163
  6. Step 6: Final answer
    x = 5,319.06

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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.