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Finding the Fourth Proportional to 6,798.72, 10,198.12 and 2,416.20

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Solution

The fourth proportional to 6,798.72, 10,198.12 and 2,416.20 is: 3,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.72 : 10,198.12 = 2,416.20 : x
  2. Step 2: Convert to fraction form
    6,798.72/10,198.12 = 2,416.20/x
  3. Step 3: Cross multiply
    6,798.72x = 10,198.12 × 2,416.20
  4. Step 4: Simplify right side
    6,798.72x = 24,640,697.54
  5. Step 5: Solve for x
    x = 24,640,697.54/6,798.72
  6. Step 6: Final answer
    x = 3,624.31

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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.