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Finding the Fourth Proportional to 12,015, 16,579.49 and 6,910.38

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Solution

The fourth proportional to 12,015, 16,579.49 and 6,910.38 is: 9,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015 : 16,579.49 = 6,910.38 : x
  2. Step 2: Convert to fraction form
    12,015/16,579.49 = 6,910.38/x
  3. Step 3: Cross multiply
    12,015x = 16,579.49 × 6,910.38
  4. Step 4: Simplify right side
    12,015x = 114,570,541.55
  5. Step 5: Solve for x
    x = 114,570,541.55/12,015
  6. Step 6: Final answer
    x = 9,535.63

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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.