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Finding the Fourth Proportional to 20,765.80, 31,148.70 and 6,914.80

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Solution

The fourth proportional to 20,765.80, 31,148.70 and 6,914.80 is: 10,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.80 : 31,148.70 = 6,914.80 : x
  2. Step 2: Convert to fraction form
    20,765.80/31,148.70 = 6,914.80/x
  3. Step 3: Cross multiply
    20,765.80x = 31,148.70 × 6,914.80
  4. Step 4: Simplify right side
    20,765.80x = 215,387,030.76
  5. Step 5: Solve for x
    x = 215,387,030.76/20,765.80
  6. Step 6: Final answer
    x = 10,372.20

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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.