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Finding the Fourth Proportional to 20,731.20, 31,096.80 and 6,880.20

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Solution

The fourth proportional to 20,731.20, 31,096.80 and 6,880.20 is: 10,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.20 : 31,096.80 = 6,880.20 : x
  2. Step 2: Convert to fraction form
    20,731.20/31,096.80 = 6,880.20/x
  3. Step 3: Cross multiply
    20,731.20x = 31,096.80 × 6,880.20
  4. Step 4: Simplify right side
    20,731.20x = 213,952,203.36
  5. Step 5: Solve for x
    x = 213,952,203.36/20,731.20
  6. Step 6: Final answer
    x = 10,320.30

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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.