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Finding the Fourth Proportional to 6,736, 9,296.56 and 4,084.40

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Solution

The fourth proportional to 6,736, 9,296.56 and 4,084.40 is: 5,637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 9,296.56 = 4,084.40 : x
  2. Step 2: Convert to fraction form
    6,736/9,296.56 = 4,084.40/x
  3. Step 3: Cross multiply
    6,736x = 9,296.56 × 4,084.40
  4. Step 4: Simplify right side
    6,736x = 37,970,869.66
  5. Step 5: Solve for x
    x = 37,970,869.66/6,736
  6. Step 6: Final answer
    x = 5,637.01

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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.