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Finding the Fourth Proportional to 9,900.44, 13,662.19 and 5,919.20

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Solution

The fourth proportional to 9,900.44, 13,662.19 and 5,919.20 is: 8,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.44 : 13,662.19 = 5,919.20 : x
  2. Step 2: Convert to fraction form
    9,900.44/13,662.19 = 5,919.20/x
  3. Step 3: Cross multiply
    9,900.44x = 13,662.19 × 5,919.20
  4. Step 4: Simplify right side
    9,900.44x = 80,869,235.05
  5. Step 5: Solve for x
    x = 80,869,235.05/9,900.44
  6. Step 6: Final answer
    x = 8,168.25

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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.