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Finding the Fourth Proportional to 11,464.50, 15,821.49 and 6,496.50

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Solution

The fourth proportional to 11,464.50, 15,821.49 and 6,496.50 is: 8,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.50 : 15,821.49 = 6,496.50 : x
  2. Step 2: Convert to fraction form
    11,464.50/15,821.49 = 6,496.50/x
  3. Step 3: Cross multiply
    11,464.50x = 15,821.49 × 6,496.50
  4. Step 4: Simplify right side
    11,464.50x = 102,784,309.79
  5. Step 5: Solve for x
    x = 102,784,309.79/11,464.50
  6. Step 6: Final answer
    x = 8,965.44

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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.