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Finding the Fourth Proportional to 10,692, 16,003.98 and 6,964.38

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Solution

The fourth proportional to 10,692, 16,003.98 and 6,964.38 is: 10,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 16,003.98 = 6,964.38 : x
  2. Step 2: Convert to fraction form
    10,692/16,003.98 = 6,964.38/x
  3. Step 3: Cross multiply
    10,692x = 16,003.98 × 6,964.38
  4. Step 4: Simplify right side
    10,692x = 111,457,798.23
  5. Step 5: Solve for x
    x = 111,457,798.23/10,692
  6. Step 6: Final answer
    x = 10,424.41

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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.