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Finding the Fourth Proportional to 24,848, 37,272 and 6,380

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Solution

The fourth proportional to 24,848, 37,272 and 6,380 is: 9,570

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848 : 37,272 = 6,380 : x
  2. Step 2: Convert to fraction form
    24,848/37,272 = 6,380/x
  3. Step 3: Cross multiply
    24,848x = 37,272 × 6,380
  4. Step 4: Simplify right side
    24,848x = 237,795,360
  5. Step 5: Solve for x
    x = 237,795,360/24,848
  6. Step 6: Final answer
    x = 9,570

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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.