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Finding the Fourth Proportional to 13,906.50, 19,191 and 7,533.16

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Solution

The fourth proportional to 13,906.50, 19,191 and 7,533.16 is: 10,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.50 : 19,191 = 7,533.16 : x
  2. Step 2: Convert to fraction form
    13,906.50/19,191 = 7,533.16/x
  3. Step 3: Cross multiply
    13,906.50x = 19,191 × 7,533.16
  4. Step 4: Simplify right side
    13,906.50x = 144,568,873.56
  5. Step 5: Solve for x
    x = 144,568,873.56/13,906.50
  6. Step 6: Final answer
    x = 10,395.78

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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.