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Finding the Fourth Proportional to 20,922.50, 31,388.62 and 7,071.50

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Solution

The fourth proportional to 20,922.50, 31,388.62 and 7,071.50 is: 10,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.50 : 31,388.62 = 7,071.50 : x
  2. Step 2: Convert to fraction form
    20,922.50/31,388.62 = 7,071.50/x
  3. Step 3: Cross multiply
    20,922.50x = 31,388.62 × 7,071.50
  4. Step 4: Simplify right side
    20,922.50x = 221,964,626.33
  5. Step 5: Solve for x
    x = 221,964,626.33/20,922.50
  6. Step 6: Final answer
    x = 10,608.90

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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.