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Finding the Fourth Proportional to 7,145.58, 9,850.42 and 5,014.66

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Solution

The fourth proportional to 7,145.58, 9,850.42 and 5,014.66 is: 6,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.58 : 9,850.42 = 5,014.66 : x
  2. Step 2: Convert to fraction form
    7,145.58/9,850.42 = 5,014.66/x
  3. Step 3: Cross multiply
    7,145.58x = 9,850.42 × 5,014.66
  4. Step 4: Simplify right side
    7,145.58x = 49,396,507.16
  5. Step 5: Solve for x
    x = 49,396,507.16/7,145.58
  6. Step 6: Final answer
    x = 6,912.88

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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.