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Finding the Fourth Proportional to 27,941.73, 41,918.46 and 8,218.63

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Solution

The fourth proportional to 27,941.73, 41,918.46 and 8,218.63 is: 12,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.73 : 41,918.46 = 8,218.63 : x
  2. Step 2: Convert to fraction form
    27,941.73/41,918.46 = 8,218.63/x
  3. Step 3: Cross multiply
    27,941.73x = 41,918.46 × 8,218.63
  4. Step 4: Simplify right side
    27,941.73x = 344,512,312.91
  5. Step 5: Solve for x
    x = 344,512,312.91/27,941.73
  6. Step 6: Final answer
    x = 12,329.67

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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.