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Finding the Fourth Proportional to 12,273.62, 16,938.06 and 6,968.93

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Solution

The fourth proportional to 12,273.62, 16,938.06 and 6,968.93 is: 9,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.62 : 16,938.06 = 6,968.93 : x
  2. Step 2: Convert to fraction form
    12,273.62/16,938.06 = 6,968.93/x
  3. Step 3: Cross multiply
    12,273.62x = 16,938.06 × 6,968.93
  4. Step 4: Simplify right side
    12,273.62x = 118,040,069.79
  5. Step 5: Solve for x
    x = 118,040,069.79/12,273.62
  6. Step 6: Final answer
    x = 9,617.38

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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.