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Finding the Fourth Proportional to 8,046.10, 12,069.15 and 3,438.10

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Solution

The fourth proportional to 8,046.10, 12,069.15 and 3,438.10 is: 5,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.10 : 12,069.15 = 3,438.10 : x
  2. Step 2: Convert to fraction form
    8,046.10/12,069.15 = 3,438.10/x
  3. Step 3: Cross multiply
    8,046.10x = 12,069.15 × 3,438.10
  4. Step 4: Simplify right side
    8,046.10x = 41,494,944.62
  5. Step 5: Solve for x
    x = 41,494,944.62/8,046.10
  6. Step 6: Final answer
    x = 5,157.15

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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.