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Finding the Fourth Proportional to 9,600.20, 14,410.08 and 9,226.64

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Solution

The fourth proportional to 9,600.20, 14,410.08 and 9,226.64 is: 13,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.20 : 14,410.08 = 9,226.64 : x
  2. Step 2: Convert to fraction form
    9,600.20/14,410.08 = 9,226.64/x
  3. Step 3: Cross multiply
    9,600.20x = 14,410.08 × 9,226.64
  4. Step 4: Simplify right side
    9,600.20x = 132,956,620.53
  5. Step 5: Solve for x
    x = 132,956,620.53/9,600.20
  6. Step 6: Final answer
    x = 13,849.36

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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.