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Finding the Fourth Proportional to 6,940.42, 10,410.62 and 2,323.42

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Solution

The fourth proportional to 6,940.42, 10,410.62 and 2,323.42 is: 3,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.42 : 10,410.62 = 2,323.42 : x
  2. Step 2: Convert to fraction form
    6,940.42/10,410.62 = 2,323.42/x
  3. Step 3: Cross multiply
    6,940.42x = 10,410.62 × 2,323.42
  4. Step 4: Simplify right side
    6,940.42x = 24,188,205.08
  5. Step 5: Solve for x
    x = 24,188,205.08/6,940.42
  6. Step 6: Final answer
    x = 3,485.12

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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.