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Finding the Fourth Proportional to 8,194.16, 12,291.80 and 2,350.80

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Solution

The fourth proportional to 8,194.16, 12,291.80 and 2,350.80 is: 3,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.16 : 12,291.80 = 2,350.80 : x
  2. Step 2: Convert to fraction form
    8,194.16/12,291.80 = 2,350.80/x
  3. Step 3: Cross multiply
    8,194.16x = 12,291.80 × 2,350.80
  4. Step 4: Simplify right side
    8,194.16x = 28,895,563.44
  5. Step 5: Solve for x
    x = 28,895,563.44/8,194.16
  6. Step 6: Final answer
    x = 3,526.36

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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.