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Finding the Fourth Proportional to 8,169.40, 12,254.10 and 7,294.60

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Solution

The fourth proportional to 8,169.40, 12,254.10 and 7,294.60 is: 10,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.40 : 12,254.10 = 7,294.60 : x
  2. Step 2: Convert to fraction form
    8,169.40/12,254.10 = 7,294.60/x
  3. Step 3: Cross multiply
    8,169.40x = 12,254.10 × 7,294.60
  4. Step 4: Simplify right side
    8,169.40x = 89,388,757.86
  5. Step 5: Solve for x
    x = 89,388,757.86/8,169.40
  6. Step 6: Final answer
    x = 10,941.90

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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.