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Finding the Fourth Proportional to 6,363.57, 9,548.19 and 2,468.28

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Solution

The fourth proportional to 6,363.57, 9,548.19 and 2,468.28 is: 3,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.57 : 9,548.19 = 2,468.28 : x
  2. Step 2: Convert to fraction form
    6,363.57/9,548.19 = 2,468.28/x
  3. Step 3: Cross multiply
    6,363.57x = 9,548.19 × 2,468.28
  4. Step 4: Simplify right side
    6,363.57x = 23,567,606.41
  5. Step 5: Solve for x
    x = 23,567,606.41/6,363.57
  6. Step 6: Final answer
    x = 3,703.52

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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.