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Finding the Fourth Proportional to 7,102.12, 9,800.94 and 3,958.42

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Solution

The fourth proportional to 7,102.12, 9,800.94 and 3,958.42 is: 5,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.12 : 9,800.94 = 3,958.42 : x
  2. Step 2: Convert to fraction form
    7,102.12/9,800.94 = 3,958.42/x
  3. Step 3: Cross multiply
    7,102.12x = 9,800.94 × 3,958.42
  4. Step 4: Simplify right side
    7,102.12x = 38,796,236.91
  5. Step 5: Solve for x
    x = 38,796,236.91/7,102.12
  6. Step 6: Final answer
    x = 5,462.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.