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Finding the Fourth Proportional to 8,114.80, 12,186.60 and 6,270.40

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Solution

The fourth proportional to 8,114.80, 12,186.60 and 6,270.40 is: 9,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.80 : 12,186.60 = 6,270.40 : x
  2. Step 2: Convert to fraction form
    8,114.80/12,186.60 = 6,270.40/x
  3. Step 3: Cross multiply
    8,114.80x = 12,186.60 × 6,270.40
  4. Step 4: Simplify right side
    8,114.80x = 76,414,856.64
  5. Step 5: Solve for x
    x = 76,414,856.64/8,114.80
  6. Step 6: Final answer
    x = 9,416.73

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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.