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Finding the Fourth Proportional to 10,692, 14,754.96 and 6,966

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Solution

The fourth proportional to 10,692, 14,754.96 and 6,966 is: 9,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 14,754.96 = 6,966 : x
  2. Step 2: Convert to fraction form
    10,692/14,754.96 = 6,966/x
  3. Step 3: Cross multiply
    10,692x = 14,754.96 × 6,966
  4. Step 4: Simplify right side
    10,692x = 102,783,051.36
  5. Step 5: Solve for x
    x = 102,783,051.36/10,692
  6. Step 6: Final answer
    x = 9,613.08

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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.