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Finding the Fourth Proportional to 23,785.68, 35,680.07 and 7,989.46

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Solution

The fourth proportional to 23,785.68, 35,680.07 and 7,989.46 is: 11,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.68 : 35,680.07 = 7,989.46 : x
  2. Step 2: Convert to fraction form
    23,785.68/35,680.07 = 7,989.46/x
  3. Step 3: Cross multiply
    23,785.68x = 35,680.07 × 7,989.46
  4. Step 4: Simplify right side
    23,785.68x = 285,064,500.72
  5. Step 5: Solve for x
    x = 285,064,500.72/23,785.68
  6. Step 6: Final answer
    x = 11,984.71

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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.