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Finding the Fourth Proportional to 8,997.37, 13,564.57 and 8,363.14

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Solution

The fourth proportional to 8,997.37, 13,564.57 and 8,363.14 is: 12,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.37 : 13,564.57 = 8,363.14 : x
  2. Step 2: Convert to fraction form
    8,997.37/13,564.57 = 8,363.14/x
  3. Step 3: Cross multiply
    8,997.37x = 13,564.57 × 8,363.14
  4. Step 4: Simplify right side
    8,997.37x = 113,442,343.13
  5. Step 5: Solve for x
    x = 113,442,343.13/8,997.37
  6. Step 6: Final answer
    x = 12,608.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.