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Finding the Fourth Proportional to 8,847, 13,270.32 and 3,848.34

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Solution

The fourth proportional to 8,847, 13,270.32 and 3,848.34 is: 5,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847 : 13,270.32 = 3,848.34 : x
  2. Step 2: Convert to fraction form
    8,847/13,270.32 = 3,848.34/x
  3. Step 3: Cross multiply
    8,847x = 13,270.32 × 3,848.34
  4. Step 4: Simplify right side
    8,847x = 51,068,703.27
  5. Step 5: Solve for x
    x = 51,068,703.27/8,847
  6. Step 6: Final answer
    x = 5,772.43

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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.