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Finding the Fourth Proportional to 8,111.20, 12,166.80 and 3,494.20

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Solution

The fourth proportional to 8,111.20, 12,166.80 and 3,494.20 is: 5,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.20 : 12,166.80 = 3,494.20 : x
  2. Step 2: Convert to fraction form
    8,111.20/12,166.80 = 3,494.20/x
  3. Step 3: Cross multiply
    8,111.20x = 12,166.80 × 3,494.20
  4. Step 4: Simplify right side
    8,111.20x = 42,513,232.56
  5. Step 5: Solve for x
    x = 42,513,232.56/8,111.20
  6. Step 6: Final answer
    x = 5,241.30

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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.