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Finding the Fourth Proportional to 13,837.75, 19,096.11 and 8,248.75

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Solution

The fourth proportional to 13,837.75, 19,096.11 and 8,248.75 is: 11,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.75 : 19,096.11 = 8,248.75 : x
  2. Step 2: Convert to fraction form
    13,837.75/19,096.11 = 8,248.75/x
  3. Step 3: Cross multiply
    13,837.75x = 19,096.11 × 8,248.75
  4. Step 4: Simplify right side
    13,837.75x = 157,519,037.36
  5. Step 5: Solve for x
    x = 157,519,037.36/13,837.75
  6. Step 6: Final answer
    x = 11,383.28

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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.