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Finding the Fourth Proportional to 27,943.76, 41,915.64 and 8,222.49

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Solution

The fourth proportional to 27,943.76, 41,915.64 and 8,222.49 is: 12,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.76 : 41,915.64 = 8,222.49 : x
  2. Step 2: Convert to fraction form
    27,943.76/41,915.64 = 8,222.49/x
  3. Step 3: Cross multiply
    27,943.76x = 41,915.64 × 8,222.49
  4. Step 4: Simplify right side
    27,943.76x = 344,650,930.74
  5. Step 5: Solve for x
    x = 344,650,930.74/27,943.76
  6. Step 6: Final answer
    x = 12,333.74

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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.