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Finding the Fourth Proportional to 15,040, 22,560 and 4,096

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Solution

The fourth proportional to 15,040, 22,560 and 4,096 is: 6,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,040 : 22,560 = 4,096 : x
  2. Step 2: Convert to fraction form
    15,040/22,560 = 4,096/x
  3. Step 3: Cross multiply
    15,040x = 22,560 × 4,096
  4. Step 4: Simplify right side
    15,040x = 92,405,760
  5. Step 5: Solve for x
    x = 92,405,760/15,040
  6. Step 6: Final answer
    x = 6,144

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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.