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Finding the Fourth Proportional to 13,759.76, 18,993 and 8,094.44

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Solution

The fourth proportional to 13,759.76, 18,993 and 8,094.44 is: 11,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.76 : 18,993 = 8,094.44 : x
  2. Step 2: Convert to fraction form
    13,759.76/18,993 = 8,094.44/x
  3. Step 3: Cross multiply
    13,759.76x = 18,993 × 8,094.44
  4. Step 4: Simplify right side
    13,759.76x = 153,737,698.92
  5. Step 5: Solve for x
    x = 153,737,698.92/13,759.76
  6. Step 6: Final answer
    x = 11,172.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.