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Finding the Fourth Proportional to 6,517.26, 8,994 and 3,684.06

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Solution

The fourth proportional to 6,517.26, 8,994 and 3,684.06 is: 5,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.26 : 8,994 = 3,684.06 : x
  2. Step 2: Convert to fraction form
    6,517.26/8,994 = 3,684.06/x
  3. Step 3: Cross multiply
    6,517.26x = 8,994 × 3,684.06
  4. Step 4: Simplify right side
    6,517.26x = 33,134,435.64
  5. Step 5: Solve for x
    x = 33,134,435.64/6,517.26
  6. Step 6: Final answer
    x = 5,084.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.