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Finding the Fourth Proportional to 6,163.34, 9,244.98 and 1,546.34

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Solution

The fourth proportional to 6,163.34, 9,244.98 and 1,546.34 is: 2,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.34 : 9,244.98 = 1,546.34 : x
  2. Step 2: Convert to fraction form
    6,163.34/9,244.98 = 1,546.34/x
  3. Step 3: Cross multiply
    6,163.34x = 9,244.98 × 1,546.34
  4. Step 4: Simplify right side
    6,163.34x = 14,295,836.15
  5. Step 5: Solve for x
    x = 14,295,836.15/6,163.34
  6. Step 6: Final answer
    x = 2,319.50

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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.