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Finding the Fourth Proportional to 11,614.50, 16,028.01 and 6,646.50

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Solution

The fourth proportional to 11,614.50, 16,028.01 and 6,646.50 is: 9,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 16,028.01 = 6,646.50 : x
  2. Step 2: Convert to fraction form
    11,614.50/16,028.01 = 6,646.50/x
  3. Step 3: Cross multiply
    11,614.50x = 16,028.01 × 6,646.50
  4. Step 4: Simplify right side
    11,614.50x = 106,530,168.47
  5. Step 5: Solve for x
    x = 106,530,168.47/11,614.50
  6. Step 6: Final answer
    x = 9,172.17

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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.