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Finding the Fourth Proportional to 8,194.96, 12,292.45 and 2,038.96

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Solution

The fourth proportional to 8,194.96, 12,292.45 and 2,038.96 is: 3,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.96 : 12,292.45 = 2,038.96 : x
  2. Step 2: Convert to fraction form
    8,194.96/12,292.45 = 2,038.96/x
  3. Step 3: Cross multiply
    8,194.96x = 12,292.45 × 2,038.96
  4. Step 4: Simplify right side
    8,194.96x = 25,063,813.85
  5. Step 5: Solve for x
    x = 25,063,813.85/8,194.96
  6. Step 6: Final answer
    x = 3,058.44

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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.