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Finding the Fourth Proportional to 12,311.66, 18,474.78 and 4,919.60

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Solution

The fourth proportional to 12,311.66, 18,474.78 and 4,919.60 is: 7,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.66 : 18,474.78 = 4,919.60 : x
  2. Step 2: Convert to fraction form
    12,311.66/18,474.78 = 4,919.60/x
  3. Step 3: Cross multiply
    12,311.66x = 18,474.78 × 4,919.60
  4. Step 4: Simplify right side
    12,311.66x = 90,888,527.69
  5. Step 5: Solve for x
    x = 90,888,527.69/12,311.66
  6. Step 6: Final answer
    x = 7,382.31

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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.