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Finding the Fourth Proportional to 11,906.82, 17,860.23 and 5,746.50

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Solution

The fourth proportional to 11,906.82, 17,860.23 and 5,746.50 is: 8,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.82 : 17,860.23 = 5,746.50 : x
  2. Step 2: Convert to fraction form
    11,906.82/17,860.23 = 5,746.50/x
  3. Step 3: Cross multiply
    11,906.82x = 17,860.23 × 5,746.50
  4. Step 4: Simplify right side
    11,906.82x = 102,633,811.70
  5. Step 5: Solve for x
    x = 102,633,811.70/11,906.82
  6. Step 6: Final answer
    x = 8,619.75

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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.