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Finding the Fourth Proportional to 6,414.36, 8,842.14 and 5,014.68

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Solution

The fourth proportional to 6,414.36, 8,842.14 and 5,014.68 is: 6,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.36 : 8,842.14 = 5,014.68 : x
  2. Step 2: Convert to fraction form
    6,414.36/8,842.14 = 5,014.68/x
  3. Step 3: Cross multiply
    6,414.36x = 8,842.14 × 5,014.68
  4. Step 4: Simplify right side
    6,414.36x = 44,340,502.62
  5. Step 5: Solve for x
    x = 44,340,502.62/6,414.36
  6. Step 6: Final answer
    x = 6,912.69

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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.