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Finding the Fourth Proportional to 7,991, 11,027.46 and 4,454.42

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Solution

The fourth proportional to 7,991, 11,027.46 and 4,454.42 is: 6,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991 : 11,027.46 = 4,454.42 : x
  2. Step 2: Convert to fraction form
    7,991/11,027.46 = 4,454.42/x
  3. Step 3: Cross multiply
    7,991x = 11,027.46 × 4,454.42
  4. Step 4: Simplify right side
    7,991x = 49,120,938.37
  5. Step 5: Solve for x
    x = 49,120,938.37/7,991
  6. Step 6: Final answer
    x = 6,147.03

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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.