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Finding the Fourth Proportional to 7,294, 10,942.62 and 2,677

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Solution

The fourth proportional to 7,294, 10,942.62 and 2,677 is: 4,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294 : 10,942.62 = 2,677 : x
  2. Step 2: Convert to fraction form
    7,294/10,942.62 = 2,677/x
  3. Step 3: Cross multiply
    7,294x = 10,942.62 × 2,677
  4. Step 4: Simplify right side
    7,294x = 29,293,393.74
  5. Step 5: Solve for x
    x = 29,293,393.74/7,294
  6. Step 6: Final answer
    x = 4,016.09

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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.