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Finding the Fourth Proportional to 8,729.46, 12,047.82 and 5,194.62

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Solution

The fourth proportional to 8,729.46, 12,047.82 and 5,194.62 is: 7,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.46 : 12,047.82 = 5,194.62 : x
  2. Step 2: Convert to fraction form
    8,729.46/12,047.82 = 5,194.62/x
  3. Step 3: Cross multiply
    8,729.46x = 12,047.82 × 5,194.62
  4. Step 4: Simplify right side
    8,729.46x = 62,583,846.73
  5. Step 5: Solve for x
    x = 62,583,846.73/8,729.46
  6. Step 6: Final answer
    x = 7,169.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.