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Finding the Fourth Proportional to 11,997.60, 17,982.38 and 9,026.50

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Solution

The fourth proportional to 11,997.60, 17,982.38 and 9,026.50 is: 13,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.60 : 17,982.38 = 9,026.50 : x
  2. Step 2: Convert to fraction form
    11,997.60/17,982.38 = 9,026.50/x
  3. Step 3: Cross multiply
    11,997.60x = 17,982.38 × 9,026.50
  4. Step 4: Simplify right side
    11,997.60x = 162,317,936.04
  5. Step 5: Solve for x
    x = 162,317,936.04/11,997.60
  6. Step 6: Final answer
    x = 13,529.20

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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.