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Finding the Fourth Proportional to 8,563.40, 12,845.10 and 8,109.80

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Solution

The fourth proportional to 8,563.40, 12,845.10 and 8,109.80 is: 12,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.40 : 12,845.10 = 8,109.80 : x
  2. Step 2: Convert to fraction form
    8,563.40/12,845.10 = 8,109.80/x
  3. Step 3: Cross multiply
    8,563.40x = 12,845.10 × 8,109.80
  4. Step 4: Simplify right side
    8,563.40x = 104,171,191.98
  5. Step 5: Solve for x
    x = 104,171,191.98/8,563.40
  6. Step 6: Final answer
    x = 12,164.70

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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.