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Finding the Fourth Proportional to 8,234.74, 12,351.84 and 2,391.22

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Solution

The fourth proportional to 8,234.74, 12,351.84 and 2,391.22 is: 3,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.74 : 12,351.84 = 2,391.22 : x
  2. Step 2: Convert to fraction form
    8,234.74/12,351.84 = 2,391.22/x
  3. Step 3: Cross multiply
    8,234.74x = 12,351.84 × 2,391.22
  4. Step 4: Simplify right side
    8,234.74x = 29,535,966.84
  5. Step 5: Solve for x
    x = 29,535,966.84/8,234.74
  6. Step 6: Final answer
    x = 3,586.75

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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.