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Finding the Fourth Proportional to 23,775.82, 35,664.14 and 8,991.70

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Solution

The fourth proportional to 23,775.82, 35,664.14 and 8,991.70 is: 13,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.82 : 35,664.14 = 8,991.70 : x
  2. Step 2: Convert to fraction form
    23,775.82/35,664.14 = 8,991.70/x
  3. Step 3: Cross multiply
    23,775.82x = 35,664.14 × 8,991.70
  4. Step 4: Simplify right side
    23,775.82x = 320,681,247.64
  5. Step 5: Solve for x
    x = 320,681,247.64/23,775.82
  6. Step 6: Final answer
    x = 13,487.71

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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.