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Finding the Fourth Proportional to 10,692, 14,754.96 and 6,499.44

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Solution

The fourth proportional to 10,692, 14,754.96 and 6,499.44 is: 8,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 14,754.96 = 6,499.44 : x
  2. Step 2: Convert to fraction form
    10,692/14,754.96 = 6,499.44/x
  3. Step 3: Cross multiply
    10,692x = 14,754.96 × 6,499.44
  4. Step 4: Simplify right side
    10,692x = 95,898,977.22
  5. Step 5: Solve for x
    x = 95,898,977.22/10,692
  6. Step 6: Final answer
    x = 8,969.23

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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.