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Finding the Fourth Proportional to 8,186.56, 12,280.12 and 2,263.88

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Solution

The fourth proportional to 8,186.56, 12,280.12 and 2,263.88 is: 3,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.56 : 12,280.12 = 2,263.88 : x
  2. Step 2: Convert to fraction form
    8,186.56/12,280.12 = 2,263.88/x
  3. Step 3: Cross multiply
    8,186.56x = 12,280.12 × 2,263.88
  4. Step 4: Simplify right side
    8,186.56x = 27,800,718.07
  5. Step 5: Solve for x
    x = 27,800,718.07/8,186.56
  6. Step 6: Final answer
    x = 3,395.90

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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.