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Finding the Fourth Proportional to 27,306.76, 40,960.92 and 7,586.76

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Solution

The fourth proportional to 27,306.76, 40,960.92 and 7,586.76 is: 11,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306.76 : 40,960.92 = 7,586.76 : x
  2. Step 2: Convert to fraction form
    27,306.76/40,960.92 = 7,586.76/x
  3. Step 3: Cross multiply
    27,306.76x = 40,960.92 × 7,586.76
  4. Step 4: Simplify right side
    27,306.76x = 310,760,669.42
  5. Step 5: Solve for x
    x = 310,760,669.42/27,306.76
  6. Step 6: Final answer
    x = 11,380.36

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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.