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Finding the Fourth Proportional to 38,583, 57,874.37 and 12,289.86

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Solution

The fourth proportional to 38,583, 57,874.37 and 12,289.86 is: 18,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583 : 57,874.37 = 12,289.86 : x
  2. Step 2: Convert to fraction form
    38,583/57,874.37 = 12,289.86/x
  3. Step 3: Cross multiply
    38,583x = 57,874.37 × 12,289.86
  4. Step 4: Simplify right side
    38,583x = 711,267,843.44
  5. Step 5: Solve for x
    x = 711,267,843.44/38,583
  6. Step 6: Final answer
    x = 18,434.75

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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.