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Finding the Fourth Proportional to 8,193.52, 12,282.90 and 2,998.18

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Solution

The fourth proportional to 8,193.52, 12,282.90 and 2,998.18 is: 4,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.52 : 12,282.90 = 2,998.18 : x
  2. Step 2: Convert to fraction form
    8,193.52/12,282.90 = 2,998.18/x
  3. Step 3: Cross multiply
    8,193.52x = 12,282.90 × 2,998.18
  4. Step 4: Simplify right side
    8,193.52x = 36,826,345.12
  5. Step 5: Solve for x
    x = 36,826,345.12/8,193.52
  6. Step 6: Final answer
    x = 4,494.57

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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.