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Finding the Fourth Proportional to 13,994.90, 20,989.85 and 6,093

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Solution

The fourth proportional to 13,994.90, 20,989.85 and 6,093 is: 9,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.90 : 20,989.85 = 6,093 : x
  2. Step 2: Convert to fraction form
    13,994.90/20,989.85 = 6,093/x
  3. Step 3: Cross multiply
    13,994.90x = 20,989.85 × 6,093
  4. Step 4: Simplify right side
    13,994.90x = 127,891,156.05
  5. Step 5: Solve for x
    x = 127,891,156.05/13,994.90
  6. Step 6: Final answer
    x = 9,138.41

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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.