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Finding the Fourth Proportional to 6,913.01, 10,370.87 and 2,234.20

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Solution

The fourth proportional to 6,913.01, 10,370.87 and 2,234.20 is: 3,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.01 : 10,370.87 = 2,234.20 : x
  2. Step 2: Convert to fraction form
    6,913.01/10,370.87 = 2,234.20/x
  3. Step 3: Cross multiply
    6,913.01x = 10,370.87 × 2,234.20
  4. Step 4: Simplify right side
    6,913.01x = 23,170,534.73
  5. Step 5: Solve for x
    x = 23,170,534.73/6,913.01
  6. Step 6: Final answer
    x = 3,351.73

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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.