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Finding the Fourth Proportional to 11,773.89, 17,660.84 and 3,982.50

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Solution

The fourth proportional to 11,773.89, 17,660.84 and 3,982.50 is: 5,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.89 : 17,660.84 = 3,982.50 : x
  2. Step 2: Convert to fraction form
    11,773.89/17,660.84 = 3,982.50/x
  3. Step 3: Cross multiply
    11,773.89x = 17,660.84 × 3,982.50
  4. Step 4: Simplify right side
    11,773.89x = 70,334,275.39
  5. Step 5: Solve for x
    x = 70,334,275.39/11,773.89
  6. Step 6: Final answer
    x = 5,973.75

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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.