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Finding the Fourth Proportional to 18,096.64, 27,146.40 and 7,708.48

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Solution

The fourth proportional to 18,096.64, 27,146.40 and 7,708.48 is: 11,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.64 : 27,146.40 = 7,708.48 : x
  2. Step 2: Convert to fraction form
    18,096.64/27,146.40 = 7,708.48/x
  3. Step 3: Cross multiply
    18,096.64x = 27,146.40 × 7,708.48
  4. Step 4: Simplify right side
    18,096.64x = 209,257,481.47
  5. Step 5: Solve for x
    x = 209,257,481.47/18,096.64
  6. Step 6: Final answer
    x = 11,563.33

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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.