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Finding the Fourth Proportional to 8,113.68, 12,170.52 and 3,493.84

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Solution

The fourth proportional to 8,113.68, 12,170.52 and 3,493.84 is: 5,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.68 : 12,170.52 = 3,493.84 : x
  2. Step 2: Convert to fraction form
    8,113.68/12,170.52 = 3,493.84/x
  3. Step 3: Cross multiply
    8,113.68x = 12,170.52 × 3,493.84
  4. Step 4: Simplify right side
    8,113.68x = 42,521,849.60
  5. Step 5: Solve for x
    x = 42,521,849.60/8,113.68
  6. Step 6: Final answer
    x = 5,240.76

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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.