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Finding the Fourth Proportional to 12,834.34, 17,702.22 and 8,349.73

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Solution

The fourth proportional to 12,834.34, 17,702.22 and 8,349.73 is: 11,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.34 : 17,702.22 = 8,349.73 : x
  2. Step 2: Convert to fraction form
    12,834.34/17,702.22 = 8,349.73/x
  3. Step 3: Cross multiply
    12,834.34x = 17,702.22 × 8,349.73
  4. Step 4: Simplify right side
    12,834.34x = 147,808,757.40
  5. Step 5: Solve for x
    x = 147,808,757.40/12,834.34
  6. Step 6: Final answer
    x = 11,516.66

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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.