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Finding the Fourth Proportional to 27,941.42, 41,912.00 and 11,301.24

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Solution

The fourth proportional to 27,941.42, 41,912.00 and 11,301.24 is: 16,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.42 : 41,912.00 = 11,301.24 : x
  2. Step 2: Convert to fraction form
    27,941.42/41,912.00 = 11,301.24/x
  3. Step 3: Cross multiply
    27,941.42x = 41,912.00 × 11,301.24
  4. Step 4: Simplify right side
    27,941.42x = 473,657,514.37
  5. Step 5: Solve for x
    x = 473,657,514.37/27,941.42
  6. Step 6: Final answer
    x = 16,951.81

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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.