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Finding the Fourth Proportional to 11,847.75, 17,771.70 and 4,922.25

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Solution

The fourth proportional to 11,847.75, 17,771.70 and 4,922.25 is: 7,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.75 : 17,771.70 = 4,922.25 : x
  2. Step 2: Convert to fraction form
    11,847.75/17,771.70 = 4,922.25/x
  3. Step 3: Cross multiply
    11,847.75x = 17,771.70 × 4,922.25
  4. Step 4: Simplify right side
    11,847.75x = 87,476,750.33
  5. Step 5: Solve for x
    x = 87,476,750.33/11,847.75
  6. Step 6: Final answer
    x = 7,383.41

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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.