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Finding the Fourth Proportional to 6,453.80, 9,684.30 and 2,755.40

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Solution

The fourth proportional to 6,453.80, 9,684.30 and 2,755.40 is: 4,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.80 : 9,684.30 = 2,755.40 : x
  2. Step 2: Convert to fraction form
    6,453.80/9,684.30 = 2,755.40/x
  3. Step 3: Cross multiply
    6,453.80x = 9,684.30 × 2,755.40
  4. Step 4: Simplify right side
    6,453.80x = 26,684,120.22
  5. Step 5: Solve for x
    x = 26,684,120.22/6,453.80
  6. Step 6: Final answer
    x = 4,134.64

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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.