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Finding the Fourth Proportional to 20,837.75, 31,258.53 and 6,794.17

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Solution

The fourth proportional to 20,837.75, 31,258.53 and 6,794.17 is: 10,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,837.75 : 31,258.53 = 6,794.17 : x
  2. Step 2: Convert to fraction form
    20,837.75/31,258.53 = 6,794.17/x
  3. Step 3: Cross multiply
    20,837.75x = 31,258.53 × 6,794.17
  4. Step 4: Simplify right side
    20,837.75x = 212,375,688.62
  5. Step 5: Solve for x
    x = 212,375,688.62/20,837.75
  6. Step 6: Final answer
    x = 10,191.87

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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.