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Finding the Fourth Proportional to 12,594.33, 18,874.17 and 5,831.96

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Solution

The fourth proportional to 12,594.33, 18,874.17 and 5,831.96 is: 8,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.33 : 18,874.17 = 5,831.96 : x
  2. Step 2: Convert to fraction form
    12,594.33/18,874.17 = 5,831.96/x
  3. Step 3: Cross multiply
    12,594.33x = 18,874.17 × 5,831.96
  4. Step 4: Simplify right side
    12,594.33x = 110,073,310.10
  5. Step 5: Solve for x
    x = 110,073,310.10/12,594.33
  6. Step 6: Final answer
    x = 8,739.91

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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.