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Finding the Fourth Proportional to 20,802.75, 31,204.13 and 6,951.75

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Solution

The fourth proportional to 20,802.75, 31,204.13 and 6,951.75 is: 10,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.75 : 31,204.13 = 6,951.75 : x
  2. Step 2: Convert to fraction form
    20,802.75/31,204.13 = 6,951.75/x
  3. Step 3: Cross multiply
    20,802.75x = 31,204.13 × 6,951.75
  4. Step 4: Simplify right side
    20,802.75x = 216,923,275.97
  5. Step 5: Solve for x
    x = 216,923,275.97/20,802.75
  6. Step 6: Final answer
    x = 10,427.63

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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.