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Finding the Fourth Proportional to 10,635.36, 14,673.48 and 6,035.38

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Solution

The fourth proportional to 10,635.36, 14,673.48 and 6,035.38 is: 8,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.36 : 14,673.48 = 6,035.38 : x
  2. Step 2: Convert to fraction form
    10,635.36/14,673.48 = 6,035.38/x
  3. Step 3: Cross multiply
    10,635.36x = 14,673.48 × 6,035.38
  4. Step 4: Simplify right side
    10,635.36x = 88,560,027.72
  5. Step 5: Solve for x
    x = 88,560,027.72/10,635.36
  6. Step 6: Final answer
    x = 8,326.94

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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.