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Finding the Fourth Proportional to 25,664, 38,496 and 6,208

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Solution

The fourth proportional to 25,664, 38,496 and 6,208 is: 9,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664 : 38,496 = 6,208 : x
  2. Step 2: Convert to fraction form
    25,664/38,496 = 6,208/x
  3. Step 3: Cross multiply
    25,664x = 38,496 × 6,208
  4. Step 4: Simplify right side
    25,664x = 238,983,168
  5. Step 5: Solve for x
    x = 238,983,168/25,664
  6. Step 6: Final answer
    x = 9,312

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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.