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Finding the Fourth Proportional to 7,923.20, 11,884.80 and 4,035.20

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Solution

The fourth proportional to 7,923.20, 11,884.80 and 4,035.20 is: 6,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.20 : 11,884.80 = 4,035.20 : x
  2. Step 2: Convert to fraction form
    7,923.20/11,884.80 = 4,035.20/x
  3. Step 3: Cross multiply
    7,923.20x = 11,884.80 × 4,035.20
  4. Step 4: Simplify right side
    7,923.20x = 47,957,544.96
  5. Step 5: Solve for x
    x = 47,957,544.96/7,923.20
  6. Step 6: Final answer
    x = 6,052.80

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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.