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Finding the Fourth Proportional to 11,703.84, 17,553.86 and 5,464.50

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Solution

The fourth proportional to 11,703.84, 17,553.86 and 5,464.50 is: 8,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.84 : 17,553.86 = 5,464.50 : x
  2. Step 2: Convert to fraction form
    11,703.84/17,553.86 = 5,464.50/x
  3. Step 3: Cross multiply
    11,703.84x = 17,553.86 × 5,464.50
  4. Step 4: Simplify right side
    11,703.84x = 95,923,067.97
  5. Step 5: Solve for x
    x = 95,923,067.97/11,703.84
  6. Step 6: Final answer
    x = 8,195.86

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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.