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Finding the Fourth Proportional to 12,197.72, 16,834.10 and 8,797.54

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Solution

The fourth proportional to 12,197.72, 16,834.10 and 8,797.54 is: 12,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.72 : 16,834.10 = 8,797.54 : x
  2. Step 2: Convert to fraction form
    12,197.72/16,834.10 = 8,797.54/x
  3. Step 3: Cross multiply
    12,197.72x = 16,834.10 × 8,797.54
  4. Step 4: Simplify right side
    12,197.72x = 148,098,668.11
  5. Step 5: Solve for x
    x = 148,098,668.11/12,197.72
  6. Step 6: Final answer
    x = 12,141.50

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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.