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Finding the Fourth Proportional to 11,974.74, 16,525.62 and 6,938.88

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Solution

The fourth proportional to 11,974.74, 16,525.62 and 6,938.88 is: 9,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.74 : 16,525.62 = 6,938.88 : x
  2. Step 2: Convert to fraction form
    11,974.74/16,525.62 = 6,938.88/x
  3. Step 3: Cross multiply
    11,974.74x = 16,525.62 × 6,938.88
  4. Step 4: Simplify right side
    11,974.74x = 114,669,294.11
  5. Step 5: Solve for x
    x = 114,669,294.11/11,974.74
  6. Step 6: Final answer
    x = 9,575.93

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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.