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Finding the Fourth Proportional to 13,726.21, 18,942.21 and 7,438.59

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Solution

The fourth proportional to 13,726.21, 18,942.21 and 7,438.59 is: 10,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.21 : 18,942.21 = 7,438.59 : x
  2. Step 2: Convert to fraction form
    13,726.21/18,942.21 = 7,438.59/x
  3. Step 3: Cross multiply
    13,726.21x = 18,942.21 × 7,438.59
  4. Step 4: Simplify right side
    13,726.21x = 140,903,333.88
  5. Step 5: Solve for x
    x = 140,903,333.88/13,726.21
  6. Step 6: Final answer
    x = 10,265.28

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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.