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Finding the Fourth Proportional to 13,804.83, 19,049.99 and 7,836.42

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Solution

The fourth proportional to 13,804.83, 19,049.99 and 7,836.42 is: 10,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.83 : 19,049.99 = 7,836.42 : x
  2. Step 2: Convert to fraction form
    13,804.83/19,049.99 = 7,836.42/x
  3. Step 3: Cross multiply
    13,804.83x = 19,049.99 × 7,836.42
  4. Step 4: Simplify right side
    13,804.83x = 149,283,722.64
  5. Step 5: Solve for x
    x = 149,283,722.64/13,804.83
  6. Step 6: Final answer
    x = 10,813.88

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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.