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Finding the Fourth Proportional to 6,114.92, 8,438.82 and 3,462.44

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Solution

The fourth proportional to 6,114.92, 8,438.82 and 3,462.44 is: 4,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.92 : 8,438.82 = 3,462.44 : x
  2. Step 2: Convert to fraction form
    6,114.92/8,438.82 = 3,462.44/x
  3. Step 3: Cross multiply
    6,114.92x = 8,438.82 × 3,462.44
  4. Step 4: Simplify right side
    6,114.92x = 29,218,907.92
  5. Step 5: Solve for x
    x = 29,218,907.92/6,114.92
  6. Step 6: Final answer
    x = 4,778.30

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Half scale
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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.