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Finding the Fourth Proportional to 20,957.29, 31,439.83 and 6,918.30

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Solution

The fourth proportional to 20,957.29, 31,439.83 and 6,918.30 is: 10,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.29 : 31,439.83 = 6,918.30 : x
  2. Step 2: Convert to fraction form
    20,957.29/31,439.83 = 6,918.30/x
  3. Step 3: Cross multiply
    20,957.29x = 31,439.83 × 6,918.30
  4. Step 4: Simplify right side
    20,957.29x = 217,510,175.89
  5. Step 5: Solve for x
    x = 217,510,175.89/20,957.29
  6. Step 6: Final answer
    x = 10,378.74

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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.