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Finding the Fourth Proportional to 20,977.50, 31,468.05 and 6,937.50

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Solution

The fourth proportional to 20,977.50, 31,468.05 and 6,937.50 is: 10,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.50 : 31,468.05 = 6,937.50 : x
  2. Step 2: Convert to fraction form
    20,977.50/31,468.05 = 6,937.50/x
  3. Step 3: Cross multiply
    20,977.50x = 31,468.05 × 6,937.50
  4. Step 4: Simplify right side
    20,977.50x = 218,309,596.88
  5. Step 5: Solve for x
    x = 218,309,596.88/20,977.50
  6. Step 6: Final answer
    x = 10,406.85

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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.