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Finding the Fourth Proportional to 8,586.16, 12,857.46 and 7,195.84

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Solution

The fourth proportional to 8,586.16, 12,857.46 and 7,195.84 is: 10,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.16 : 12,857.46 = 7,195.84 : x
  2. Step 2: Convert to fraction form
    8,586.16/12,857.46 = 7,195.84/x
  3. Step 3: Cross multiply
    8,586.16x = 12,857.46 × 7,195.84
  4. Step 4: Simplify right side
    8,586.16x = 92,520,224.97
  5. Step 5: Solve for x
    x = 92,520,224.97/8,586.16
  6. Step 6: Final answer
    x = 10,775.51

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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.