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Finding the Fourth Proportional to 6,282.14, 8,669.22 and 3,487.64

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Solution

The fourth proportional to 6,282.14, 8,669.22 and 3,487.64 is: 4,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.14 : 8,669.22 = 3,487.64 : x
  2. Step 2: Convert to fraction form
    6,282.14/8,669.22 = 3,487.64/x
  3. Step 3: Cross multiply
    6,282.14x = 8,669.22 × 3,487.64
  4. Step 4: Simplify right side
    6,282.14x = 30,235,118.44
  5. Step 5: Solve for x
    x = 30,235,118.44/6,282.14
  6. Step 6: Final answer
    x = 4,812.87

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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.