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Finding the Fourth Proportional to 12,078, 18,126.81 and 6,236.28

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Solution

The fourth proportional to 12,078, 18,126.81 and 6,236.28 is: 9,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 18,126.81 = 6,236.28 : x
  2. Step 2: Convert to fraction form
    12,078/18,126.81 = 6,236.28/x
  3. Step 3: Cross multiply
    12,078x = 18,126.81 × 6,236.28
  4. Step 4: Simplify right side
    12,078x = 113,043,862.67
  5. Step 5: Solve for x
    x = 113,043,862.67/12,078
  6. Step 6: Final answer
    x = 9,359.49

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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.