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Finding the Fourth Proportional to 13,772.48, 18,993.72 and 11,410.48

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Solution

The fourth proportional to 13,772.48, 18,993.72 and 11,410.48 is: 15,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.48 : 18,993.72 = 11,410.48 : x
  2. Step 2: Convert to fraction form
    13,772.48/18,993.72 = 11,410.48/x
  3. Step 3: Cross multiply
    13,772.48x = 18,993.72 × 11,410.48
  4. Step 4: Simplify right side
    13,772.48x = 216,727,462.19
  5. Step 5: Solve for x
    x = 216,727,462.19/13,772.48
  6. Step 6: Final answer
    x = 15,736.27

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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.