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Finding the Fourth Proportional to 20,708.60, 31,062.90 and 6,857.60

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Solution

The fourth proportional to 20,708.60, 31,062.90 and 6,857.60 is: 10,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708.60 : 31,062.90 = 6,857.60 : x
  2. Step 2: Convert to fraction form
    20,708.60/31,062.90 = 6,857.60/x
  3. Step 3: Cross multiply
    20,708.60x = 31,062.90 × 6,857.60
  4. Step 4: Simplify right side
    20,708.60x = 213,016,943.04
  5. Step 5: Solve for x
    x = 213,016,943.04/20,708.60
  6. Step 6: Final answer
    x = 10,286.40

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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.