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Finding the Fourth Proportional to 6,793.60, 10,189.28 and 2,176

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Solution

The fourth proportional to 6,793.60, 10,189.28 and 2,176 is: 3,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.60 : 10,189.28 = 2,176 : x
  2. Step 2: Convert to fraction form
    6,793.60/10,189.28 = 2,176/x
  3. Step 3: Cross multiply
    6,793.60x = 10,189.28 × 2,176
  4. Step 4: Simplify right side
    6,793.60x = 22,171,873.28
  5. Step 5: Solve for x
    x = 22,171,873.28/6,793.60
  6. Step 6: Final answer
    x = 3,263.64

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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.