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Finding the Fourth Proportional to 11,702.73, 16,148.93 and 6,396.42

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Solution

The fourth proportional to 11,702.73, 16,148.93 and 6,396.42 is: 8,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.73 : 16,148.93 = 6,396.42 : x
  2. Step 2: Convert to fraction form
    11,702.73/16,148.93 = 6,396.42/x
  3. Step 3: Cross multiply
    11,702.73x = 16,148.93 × 6,396.42
  4. Step 4: Simplify right side
    11,702.73x = 103,295,306.85
  5. Step 5: Solve for x
    x = 103,295,306.85/11,702.73
  6. Step 6: Final answer
    x = 8,826.60

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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.