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Finding the Fourth Proportional to 11,651.50, 16,079.16 and 6,935.50

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Solution

The fourth proportional to 11,651.50, 16,079.16 and 6,935.50 is: 9,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.50 : 16,079.16 = 6,935.50 : x
  2. Step 2: Convert to fraction form
    11,651.50/16,079.16 = 6,935.50/x
  3. Step 3: Cross multiply
    11,651.50x = 16,079.16 × 6,935.50
  4. Step 4: Simplify right side
    11,651.50x = 111,517,014.18
  5. Step 5: Solve for x
    x = 111,517,014.18/11,651.50
  6. Step 6: Final answer
    x = 9,571.04

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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.