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Finding the Fourth Proportional to 13,129.44, 18,102 and 8,405.76

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Solution

The fourth proportional to 13,129.44, 18,102 and 8,405.76 is: 11,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.44 : 18,102 = 8,405.76 : x
  2. Step 2: Convert to fraction form
    13,129.44/18,102 = 8,405.76/x
  3. Step 3: Cross multiply
    13,129.44x = 18,102 × 8,405.76
  4. Step 4: Simplify right side
    13,129.44x = 152,161,067.52
  5. Step 5: Solve for x
    x = 152,161,067.52/13,129.44
  6. Step 6: Final answer
    x = 11,589.30

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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.