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Finding the Fourth Proportional to 11,789.84, 17,682.04 and 5,212.44

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Solution

The fourth proportional to 11,789.84, 17,682.04 and 5,212.44 is: 7,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.84 : 17,682.04 = 5,212.44 : x
  2. Step 2: Convert to fraction form
    11,789.84/17,682.04 = 5,212.44/x
  3. Step 3: Cross multiply
    11,789.84x = 17,682.04 × 5,212.44
  4. Step 4: Simplify right side
    11,789.84x = 92,166,572.58
  5. Step 5: Solve for x
    x = 92,166,572.58/11,789.84
  6. Step 6: Final answer
    x = 7,817.46

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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.