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Finding the Fourth Proportional to 6,245.65, 9,366.38 and 2,084.50

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Solution

The fourth proportional to 6,245.65, 9,366.38 and 2,084.50 is: 3,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.65 : 9,366.38 = 2,084.50 : x
  2. Step 2: Convert to fraction form
    6,245.65/9,366.38 = 2,084.50/x
  3. Step 3: Cross multiply
    6,245.65x = 9,366.38 × 2,084.50
  4. Step 4: Simplify right side
    6,245.65x = 19,524,161.86
  5. Step 5: Solve for x
    x = 19,524,161.86/6,245.65
  6. Step 6: Final answer
    x = 3,126.04

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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.