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Finding the Fourth Proportional to 12,083.88, 16,675.75 and 7,369.14

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Solution

The fourth proportional to 12,083.88, 16,675.75 and 7,369.14 is: 10,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.88 : 16,675.75 = 7,369.14 : x
  2. Step 2: Convert to fraction form
    12,083.88/16,675.75 = 7,369.14/x
  3. Step 3: Cross multiply
    12,083.88x = 16,675.75 × 7,369.14
  4. Step 4: Simplify right side
    12,083.88x = 122,885,936.36
  5. Step 5: Solve for x
    x = 122,885,936.36/12,083.88
  6. Step 6: Final answer
    x = 10,169.41

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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.