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Finding the Fourth Proportional to 25,600, 38,400 and 6,144

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Solution

The fourth proportional to 25,600, 38,400 and 6,144 is: 9,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 38,400 = 6,144 : x
  2. Step 2: Convert to fraction form
    25,600/38,400 = 6,144/x
  3. Step 3: Cross multiply
    25,600x = 38,400 × 6,144
  4. Step 4: Simplify right side
    25,600x = 235,929,600
  5. Step 5: Solve for x
    x = 235,929,600/25,600
  6. Step 6: Final answer
    x = 9,216

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.