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Finding the Fourth Proportional to 10,692, 14,761.44 and 6,972.48

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Solution

The fourth proportional to 10,692, 14,761.44 and 6,972.48 is: 9,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 14,761.44 = 6,972.48 : x
  2. Step 2: Convert to fraction form
    10,692/14,761.44 = 6,972.48/x
  3. Step 3: Cross multiply
    10,692x = 14,761.44 × 6,972.48
  4. Step 4: Simplify right side
    10,692x = 102,923,845.17
  5. Step 5: Solve for x
    x = 102,923,845.17/10,692
  6. Step 6: Final answer
    x = 9,626.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.