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Finding the Fourth Proportional to 20,765.75, 31,148.63 and 6,914.75

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Solution

The fourth proportional to 20,765.75, 31,148.63 and 6,914.75 is: 10,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.75 : 31,148.63 = 6,914.75 : x
  2. Step 2: Convert to fraction form
    20,765.75/31,148.63 = 6,914.75/x
  3. Step 3: Cross multiply
    20,765.75x = 31,148.63 × 6,914.75
  4. Step 4: Simplify right side
    20,765.75x = 215,384,989.29
  5. Step 5: Solve for x
    x = 215,384,989.29/20,765.75
  6. Step 6: Final answer
    x = 10,372.13

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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.