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Finding the Fourth Proportional to 6,369.60, 9,546.30 and 3,445.50

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Solution

The fourth proportional to 6,369.60, 9,546.30 and 3,445.50 is: 5,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.60 : 9,546.30 = 3,445.50 : x
  2. Step 2: Convert to fraction form
    6,369.60/9,546.30 = 3,445.50/x
  3. Step 3: Cross multiply
    6,369.60x = 9,546.30 × 3,445.50
  4. Step 4: Simplify right side
    6,369.60x = 32,891,776.65
  5. Step 5: Solve for x
    x = 32,891,776.65/6,369.60
  6. Step 6: Final answer
    x = 5,163.87

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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.