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Finding the Fourth Proportional to 6,916, 10,374.54 and 2,299

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Solution

The fourth proportional to 6,916, 10,374.54 and 2,299 is: 3,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916 : 10,374.54 = 2,299 : x
  2. Step 2: Convert to fraction form
    6,916/10,374.54 = 2,299/x
  3. Step 3: Cross multiply
    6,916x = 10,374.54 × 2,299
  4. Step 4: Simplify right side
    6,916x = 23,851,067.46
  5. Step 5: Solve for x
    x = 23,851,067.46/6,916
  6. Step 6: Final answer
    x = 3,448.68

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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.