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Finding the Fourth Proportional to 11,800.48, 16,286.16 and 7,084.48

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Solution

The fourth proportional to 11,800.48, 16,286.16 and 7,084.48 is: 9,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.48 : 16,286.16 = 7,084.48 : x
  2. Step 2: Convert to fraction form
    11,800.48/16,286.16 = 7,084.48/x
  3. Step 3: Cross multiply
    11,800.48x = 16,286.16 × 7,084.48
  4. Step 4: Simplify right side
    11,800.48x = 115,378,974.80
  5. Step 5: Solve for x
    x = 115,378,974.80/11,800.48
  6. Step 6: Final answer
    x = 9,777.48

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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.