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Finding the Fourth Proportional to 13,796.76, 20,695.14 and 3,408.51

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Solution

The fourth proportional to 13,796.76, 20,695.14 and 3,408.51 is: 5,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.76 : 20,695.14 = 3,408.51 : x
  2. Step 2: Convert to fraction form
    13,796.76/20,695.14 = 3,408.51/x
  3. Step 3: Cross multiply
    13,796.76x = 20,695.14 × 3,408.51
  4. Step 4: Simplify right side
    13,796.76x = 70,539,591.64
  5. Step 5: Solve for x
    x = 70,539,591.64/13,796.76
  6. Step 6: Final answer
    x = 5,112.77

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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.