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Finding the Fourth Proportional to 8,093.40, 12,149.70 and 4,586.20

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Solution

The fourth proportional to 8,093.40, 12,149.70 and 4,586.20 is: 6,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.40 : 12,149.70 = 4,586.20 : x
  2. Step 2: Convert to fraction form
    8,093.40/12,149.70 = 4,586.20/x
  3. Step 3: Cross multiply
    8,093.40x = 12,149.70 × 4,586.20
  4. Step 4: Simplify right side
    8,093.40x = 55,720,954.14
  5. Step 5: Solve for x
    x = 55,720,954.14/8,093.40
  6. Step 6: Final answer
    x = 6,884.74

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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.