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Finding the Fourth Proportional to 6,542.27, 9,813.63 and 2,594.28

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Solution

The fourth proportional to 6,542.27, 9,813.63 and 2,594.28 is: 3,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.27 : 9,813.63 = 2,594.28 : x
  2. Step 2: Convert to fraction form
    6,542.27/9,813.63 = 2,594.28/x
  3. Step 3: Cross multiply
    6,542.27x = 9,813.63 × 2,594.28
  4. Step 4: Simplify right side
    6,542.27x = 25,459,304.04
  5. Step 5: Solve for x
    x = 25,459,304.04/6,542.27
  6. Step 6: Final answer
    x = 3,891.51

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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.