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Finding the Fourth Proportional to 6,697.92, 10,046.85 and 2,800.20

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Solution

The fourth proportional to 6,697.92, 10,046.85 and 2,800.20 is: 4,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.92 : 10,046.85 = 2,800.20 : x
  2. Step 2: Convert to fraction form
    6,697.92/10,046.85 = 2,800.20/x
  3. Step 3: Cross multiply
    6,697.92x = 10,046.85 × 2,800.20
  4. Step 4: Simplify right side
    6,697.92x = 28,133,189.37
  5. Step 5: Solve for x
    x = 28,133,189.37/6,697.92
  6. Step 6: Final answer
    x = 4,200.29

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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.