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Finding the Fourth Proportional to 11,881.38, 16,398.04 and 6,844.62

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Solution

The fourth proportional to 11,881.38, 16,398.04 and 6,844.62 is: 9,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.38 : 16,398.04 = 6,844.62 : x
  2. Step 2: Convert to fraction form
    11,881.38/16,398.04 = 6,844.62/x
  3. Step 3: Cross multiply
    11,881.38x = 16,398.04 × 6,844.62
  4. Step 4: Simplify right side
    11,881.38x = 112,238,352.54
  5. Step 5: Solve for x
    x = 112,238,352.54/11,881.38
  6. Step 6: Final answer
    x = 9,446.58

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1.5x scale

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.