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Finding the Fourth Proportional to 8,564.80, 12,847.20 and 8,161.60

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Solution

The fourth proportional to 8,564.80, 12,847.20 and 8,161.60 is: 12,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.80 : 12,847.20 = 8,161.60 : x
  2. Step 2: Convert to fraction form
    8,564.80/12,847.20 = 8,161.60/x
  3. Step 3: Cross multiply
    8,564.80x = 12,847.20 × 8,161.60
  4. Step 4: Simplify right side
    8,564.80x = 104,853,707.52
  5. Step 5: Solve for x
    x = 104,853,707.52/8,564.80
  6. Step 6: Final answer
    x = 12,242.40

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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.