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Finding the Fourth Proportional to 13,834, 20,761.86 and 6,048.28

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Solution

The fourth proportional to 13,834, 20,761.86 and 6,048.28 is: 9,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 20,761.86 = 6,048.28 : x
  2. Step 2: Convert to fraction form
    13,834/20,761.86 = 6,048.28/x
  3. Step 3: Cross multiply
    13,834x = 20,761.86 × 6,048.28
  4. Step 4: Simplify right side
    13,834x = 125,573,542.60
  5. Step 5: Solve for x
    x = 125,573,542.60/13,834
  6. Step 6: Final answer
    x = 9,077.17

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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.