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Finding the Fourth Proportional to 11,905.92, 16,411.14 and 9,383.99

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Solution

The fourth proportional to 11,905.92, 16,411.14 and 9,383.99 is: 12,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.92 : 16,411.14 = 9,383.99 : x
  2. Step 2: Convert to fraction form
    11,905.92/16,411.14 = 9,383.99/x
  3. Step 3: Cross multiply
    11,905.92x = 16,411.14 × 9,383.99
  4. Step 4: Simplify right side
    11,905.92x = 154,001,891.59
  5. Step 5: Solve for x
    x = 154,001,891.59/11,905.92
  6. Step 6: Final answer
    x = 12,934.90

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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.