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Finding the Fourth Proportional to 11,446.34, 15,797.54 and 8,269.91

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Solution

The fourth proportional to 11,446.34, 15,797.54 and 8,269.91 is: 11,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.34 : 15,797.54 = 8,269.91 : x
  2. Step 2: Convert to fraction form
    11,446.34/15,797.54 = 8,269.91/x
  3. Step 3: Cross multiply
    11,446.34x = 15,797.54 × 8,269.91
  4. Step 4: Simplify right side
    11,446.34x = 130,644,234.02
  5. Step 5: Solve for x
    x = 130,644,234.02/11,446.34
  6. Step 6: Final answer
    x = 11,413.63

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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.