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Finding the Fourth Proportional to 13,963.73, 20,910.92 and 9,784.13

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Solution

The fourth proportional to 13,963.73, 20,910.92 and 9,784.13 is: 14,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.73 : 20,910.92 = 9,784.13 : x
  2. Step 2: Convert to fraction form
    13,963.73/20,910.92 = 9,784.13/x
  3. Step 3: Cross multiply
    13,963.73x = 20,910.92 × 9,784.13
  4. Step 4: Simplify right side
    13,963.73x = 204,595,006.22
  5. Step 5: Solve for x
    x = 204,595,006.22/13,963.73
  6. Step 6: Final answer
    x = 14,651.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.