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Finding the Fourth Proportional to 8,287.91, 12,429.91 and 2,364.66

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Solution

The fourth proportional to 8,287.91, 12,429.91 and 2,364.66 is: 3,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.91 : 12,429.91 = 2,364.66 : x
  2. Step 2: Convert to fraction form
    8,287.91/12,429.91 = 2,364.66/x
  3. Step 3: Cross multiply
    8,287.91x = 12,429.91 × 2,364.66
  4. Step 4: Simplify right side
    8,287.91x = 29,392,510.98
  5. Step 5: Solve for x
    x = 29,392,510.98/8,287.91
  6. Step 6: Final answer
    x = 3,546.43

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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.