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Finding the Fourth Proportional to 27,471.42, 41,213.36 and 9,941.24

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Solution

The fourth proportional to 27,471.42, 41,213.36 and 9,941.24 is: 14,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.42 : 41,213.36 = 9,941.24 : x
  2. Step 2: Convert to fraction form
    27,471.42/41,213.36 = 9,941.24/x
  3. Step 3: Cross multiply
    27,471.42x = 41,213.36 × 9,941.24
  4. Step 4: Simplify right side
    27,471.42x = 409,711,902.97
  5. Step 5: Solve for x
    x = 409,711,902.97/27,471.42
  6. Step 6: Final answer
    x = 14,914.11

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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.