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Finding the Fourth Proportional to 8,353.98, 11,524.41 and 7,027.20

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Solution

The fourth proportional to 8,353.98, 11,524.41 and 7,027.20 is: 9,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.98 : 11,524.41 = 7,027.20 : x
  2. Step 2: Convert to fraction form
    8,353.98/11,524.41 = 7,027.20/x
  3. Step 3: Cross multiply
    8,353.98x = 11,524.41 × 7,027.20
  4. Step 4: Simplify right side
    8,353.98x = 80,984,333.95
  5. Step 5: Solve for x
    x = 80,984,333.95/8,353.98
  6. Step 6: Final answer
    x = 9,694.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.