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Finding the Fourth Proportional to 8,093.83, 12,143.67 and 2,829.62

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Solution

The fourth proportional to 8,093.83, 12,143.67 and 2,829.62 is: 4,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.83 : 12,143.67 = 2,829.62 : x
  2. Step 2: Convert to fraction form
    8,093.83/12,143.67 = 2,829.62/x
  3. Step 3: Cross multiply
    8,093.83x = 12,143.67 × 2,829.62
  4. Step 4: Simplify right side
    8,093.83x = 34,361,971.51
  5. Step 5: Solve for x
    x = 34,361,971.51/8,093.83
  6. Step 6: Final answer
    x = 4,245.45

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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.