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Finding the Fourth Proportional to 8,175.46, 12,263.22 and 2,019.46

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Solution

The fourth proportional to 8,175.46, 12,263.22 and 2,019.46 is: 3,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.46 : 12,263.22 = 2,019.46 : x
  2. Step 2: Convert to fraction form
    8,175.46/12,263.22 = 2,019.46/x
  3. Step 3: Cross multiply
    8,175.46x = 12,263.22 × 2,019.46
  4. Step 4: Simplify right side
    8,175.46x = 24,765,082.26
  5. Step 5: Solve for x
    x = 24,765,082.26/8,175.46
  6. Step 6: Final answer
    x = 3,029.20

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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.