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Finding the Fourth Proportional to 12,604.06, 17,393.64 and 6,938.62

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Solution

The fourth proportional to 12,604.06, 17,393.64 and 6,938.62 is: 9,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.06 : 17,393.64 = 6,938.62 : x
  2. Step 2: Convert to fraction form
    12,604.06/17,393.64 = 6,938.62/x
  3. Step 3: Cross multiply
    12,604.06x = 17,393.64 × 6,938.62
  4. Step 4: Simplify right side
    12,604.06x = 120,687,858.38
  5. Step 5: Solve for x
    x = 120,687,858.38/12,604.06
  6. Step 6: Final answer
    x = 9,575.32

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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.