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Finding the Fourth Proportional to 8,193.93, 12,289.68 and 4,032.81

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Solution

The fourth proportional to 8,193.93, 12,289.68 and 4,032.81 is: 6,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.93 : 12,289.68 = 4,032.81 : x
  2. Step 2: Convert to fraction form
    8,193.93/12,289.68 = 4,032.81/x
  3. Step 3: Cross multiply
    8,193.93x = 12,289.68 × 4,032.81
  4. Step 4: Simplify right side
    8,193.93x = 49,561,944.40
  5. Step 5: Solve for x
    x = 49,561,944.40/8,193.93
  6. Step 6: Final answer
    x = 6,048.62

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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.