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Finding the Fourth Proportional to 27,270.20, 40,905.80 and 8,549.82

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Solution

The fourth proportional to 27,270.20, 40,905.80 and 8,549.82 is: 12,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.20 : 40,905.80 = 8,549.82 : x
  2. Step 2: Convert to fraction form
    27,270.20/40,905.80 = 8,549.82/x
  3. Step 3: Cross multiply
    27,270.20x = 40,905.80 × 8,549.82
  4. Step 4: Simplify right side
    27,270.20x = 349,737,226.96
  5. Step 5: Solve for x
    x = 349,737,226.96/27,270.20
  6. Step 6: Final answer
    x = 12,824.89

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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.