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Finding the Fourth Proportional to 8,230.95, 12,347.24 and 2,684.07

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Solution

The fourth proportional to 8,230.95, 12,347.24 and 2,684.07 is: 4,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.95 : 12,347.24 = 2,684.07 : x
  2. Step 2: Convert to fraction form
    8,230.95/12,347.24 = 2,684.07/x
  3. Step 3: Cross multiply
    8,230.95x = 12,347.24 × 2,684.07
  4. Step 4: Simplify right side
    8,230.95x = 33,140,843.05
  5. Step 5: Solve for x
    x = 33,140,843.05/8,230.95
  6. Step 6: Final answer
    x = 4,026.37

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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.