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Finding the Fourth Proportional to 6,912, 10,368 and 2,295

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Solution

The fourth proportional to 6,912, 10,368 and 2,295 is: 3,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 10,368 = 2,295 : x
  2. Step 2: Convert to fraction form
    6,912/10,368 = 2,295/x
  3. Step 3: Cross multiply
    6,912x = 10,368 × 2,295
  4. Step 4: Simplify right side
    6,912x = 23,794,560
  5. Step 5: Solve for x
    x = 23,794,560/6,912
  6. Step 6: Final answer
    x = 3,442.50

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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.