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Finding the Fourth Proportional to 25,384, 38,076 and 6,916

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Solution

The fourth proportional to 25,384, 38,076 and 6,916 is: 10,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384 : 38,076 = 6,916 : x
  2. Step 2: Convert to fraction form
    25,384/38,076 = 6,916/x
  3. Step 3: Cross multiply
    25,384x = 38,076 × 6,916
  4. Step 4: Simplify right side
    25,384x = 263,333,616
  5. Step 5: Solve for x
    x = 263,333,616/25,384
  6. Step 6: Final answer
    x = 10,374

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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.