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Finding the Fourth Proportional to 13,806.12, 19,053.12 and 7,837.68

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Solution

The fourth proportional to 13,806.12, 19,053.12 and 7,837.68 is: 10,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.12 : 19,053.12 = 7,837.68 : x
  2. Step 2: Convert to fraction form
    13,806.12/19,053.12 = 7,837.68/x
  3. Step 3: Cross multiply
    13,806.12x = 19,053.12 × 7,837.68
  4. Step 4: Simplify right side
    13,806.12x = 149,332,257.56
  5. Step 5: Solve for x
    x = 149,332,257.56/13,806.12
  6. Step 6: Final answer
    x = 10,816.38

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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.