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Finding the Fourth Proportional to 12,974, 19,467.60 and 5,954

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Solution

The fourth proportional to 12,974, 19,467.60 and 5,954 is: 8,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974 : 19,467.60 = 5,954 : x
  2. Step 2: Convert to fraction form
    12,974/19,467.60 = 5,954/x
  3. Step 3: Cross multiply
    12,974x = 19,467.60 × 5,954
  4. Step 4: Simplify right side
    12,974x = 115,910,090.40
  5. Step 5: Solve for x
    x = 115,910,090.40/12,974
  6. Step 6: Final answer
    x = 8,934.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.