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Finding the Fourth Proportional to 8,586.20, 12,857.70 and 6,858.20

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Solution

The fourth proportional to 8,586.20, 12,857.70 and 6,858.20 is: 10,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.20 : 12,857.70 = 6,858.20 : x
  2. Step 2: Convert to fraction form
    8,586.20/12,857.70 = 6,858.20/x
  3. Step 3: Cross multiply
    8,586.20x = 12,857.70 × 6,858.20
  4. Step 4: Simplify right side
    8,586.20x = 88,180,678.14
  5. Step 5: Solve for x
    x = 88,180,678.14/8,586.20
  6. Step 6: Final answer
    x = 10,270.05

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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.