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Finding the Fourth Proportional to 27,817.77, 41,733.48 and 8,096.51

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Solution

The fourth proportional to 27,817.77, 41,733.48 and 8,096.51 is: 12,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.77 : 41,733.48 = 8,096.51 : x
  2. Step 2: Convert to fraction form
    27,817.77/41,733.48 = 8,096.51/x
  3. Step 3: Cross multiply
    27,817.77x = 41,733.48 × 8,096.51
  4. Step 4: Simplify right side
    27,817.77x = 337,895,329.49
  5. Step 5: Solve for x
    x = 337,895,329.49/27,817.77
  6. Step 6: Final answer
    x = 12,146.74

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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.