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Finding the Fourth Proportional to 27,922.02, 41,874.02 and 9,197.60

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Solution

The fourth proportional to 27,922.02, 41,874.02 and 9,197.60 is: 13,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.02 : 41,874.02 = 9,197.60 : x
  2. Step 2: Convert to fraction form
    27,922.02/41,874.02 = 9,197.60/x
  3. Step 3: Cross multiply
    27,922.02x = 41,874.02 × 9,197.60
  4. Step 4: Simplify right side
    27,922.02x = 385,140,486.35
  5. Step 5: Solve for x
    x = 385,140,486.35/27,922.02
  6. Step 6: Final answer
    x = 13,793.43

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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.