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Finding the Fourth Proportional to 6,473.25, 9,713.12 and 2,963.25

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Solution

The fourth proportional to 6,473.25, 9,713.12 and 2,963.25 is: 4,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.25 : 9,713.12 = 2,963.25 : x
  2. Step 2: Convert to fraction form
    6,473.25/9,713.12 = 2,963.25/x
  3. Step 3: Cross multiply
    6,473.25x = 9,713.12 × 2,963.25
  4. Step 4: Simplify right side
    6,473.25x = 28,782,388.02
  5. Step 5: Solve for x
    x = 28,782,388.02/6,473.25
  6. Step 6: Final answer
    x = 4,446.36

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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.