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Finding the Fourth Proportional to 11,601.92, 17,394.36 and 7,446.60

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Solution

The fourth proportional to 11,601.92, 17,394.36 and 7,446.60 is: 11,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.92 : 17,394.36 = 7,446.60 : x
  2. Step 2: Convert to fraction form
    11,601.92/17,394.36 = 7,446.60/x
  3. Step 3: Cross multiply
    11,601.92x = 17,394.36 × 7,446.60
  4. Step 4: Simplify right side
    11,601.92x = 129,528,841.18
  5. Step 5: Solve for x
    x = 129,528,841.18/11,601.92
  6. Step 6: Final answer
    x = 11,164.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.