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Finding the Fourth Proportional to 8,586.70, 12,865.65 and 4,194.70

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Solution

The fourth proportional to 8,586.70, 12,865.65 and 4,194.70 is: 6,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.70 : 12,865.65 = 4,194.70 : x
  2. Step 2: Convert to fraction form
    8,586.70/12,865.65 = 4,194.70/x
  3. Step 3: Cross multiply
    8,586.70x = 12,865.65 × 4,194.70
  4. Step 4: Simplify right side
    8,586.70x = 53,967,542.06
  5. Step 5: Solve for x
    x = 53,967,542.06/8,586.70
  6. Step 6: Final answer
    x = 6,285.02

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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.