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Finding the Fourth Proportional to 11,935.38, 16,470.74 and 6,630.20

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Solution

The fourth proportional to 11,935.38, 16,470.74 and 6,630.20 is: 9,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.38 : 16,470.74 = 6,630.20 : x
  2. Step 2: Convert to fraction form
    11,935.38/16,470.74 = 6,630.20/x
  3. Step 3: Cross multiply
    11,935.38x = 16,470.74 × 6,630.20
  4. Step 4: Simplify right side
    11,935.38x = 109,204,300.35
  5. Step 5: Solve for x
    x = 109,204,300.35/11,935.38
  6. Step 6: Final answer
    x = 9,149.63

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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.