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Finding the Fourth Proportional to 8,564.70, 12,847.05 and 4,190.70

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Solution

The fourth proportional to 8,564.70, 12,847.05 and 4,190.70 is: 6,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.70 : 12,847.05 = 4,190.70 : x
  2. Step 2: Convert to fraction form
    8,564.70/12,847.05 = 4,190.70/x
  3. Step 3: Cross multiply
    8,564.70x = 12,847.05 × 4,190.70
  4. Step 4: Simplify right side
    8,564.70x = 53,838,132.44
  5. Step 5: Solve for x
    x = 53,838,132.44/8,564.70
  6. Step 6: Final answer
    x = 6,286.05

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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.