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Finding the Fourth Proportional to 8,596.50, 12,797.02 and 8,193.94

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Solution

The fourth proportional to 8,596.50, 12,797.02 and 8,193.94 is: 12,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.50 : 12,797.02 = 8,193.94 : x
  2. Step 2: Convert to fraction form
    8,596.50/12,797.02 = 8,193.94/x
  3. Step 3: Cross multiply
    8,596.50x = 12,797.02 × 8,193.94
  4. Step 4: Simplify right side
    8,596.50x = 104,858,014.06
  5. Step 5: Solve for x
    x = 104,858,014.06/8,596.50
  6. Step 6: Final answer
    x = 12,197.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.