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Finding the Fourth Proportional to 23,838.56, 35,758.08 and 7,198.73

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Solution

The fourth proportional to 23,838.56, 35,758.08 and 7,198.73 is: 10,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.56 : 35,758.08 = 7,198.73 : x
  2. Step 2: Convert to fraction form
    23,838.56/35,758.08 = 7,198.73/x
  3. Step 3: Cross multiply
    23,838.56x = 35,758.08 × 7,198.73
  4. Step 4: Simplify right side
    23,838.56x = 257,412,584.45
  5. Step 5: Solve for x
    x = 257,412,584.45/23,838.56
  6. Step 6: Final answer
    x = 10,798.16

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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.