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Finding the Fourth Proportional to 13,338, 18,406.44 and 7,450

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Solution

The fourth proportional to 13,338, 18,406.44 and 7,450 is: 10,281

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 18,406.44 = 7,450 : x
  2. Step 2: Convert to fraction form
    13,338/18,406.44 = 7,450/x
  3. Step 3: Cross multiply
    13,338x = 18,406.44 × 7,450
  4. Step 4: Simplify right side
    13,338x = 137,127,978
  5. Step 5: Solve for x
    x = 137,127,978/13,338
  6. Step 6: Final answer
    x = 10,281

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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.