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Finding the Fourth Proportional to 10,793.48, 16,194.87 and 7,835.20

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Solution

The fourth proportional to 10,793.48, 16,194.87 and 7,835.20 is: 11,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.48 : 16,194.87 = 7,835.20 : x
  2. Step 2: Convert to fraction form
    10,793.48/16,194.87 = 7,835.20/x
  3. Step 3: Cross multiply
    10,793.48x = 16,194.87 × 7,835.20
  4. Step 4: Simplify right side
    10,793.48x = 126,890,004.94
  5. Step 5: Solve for x
    x = 126,890,004.94/10,793.48
  6. Step 6: Final answer
    x = 11,756.18

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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.