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Finding the Fourth Proportional to 10,727.70, 14,804.94 and 6,012

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Solution

The fourth proportional to 10,727.70, 14,804.94 and 6,012 is: 8,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.70 : 14,804.94 = 6,012 : x
  2. Step 2: Convert to fraction form
    10,727.70/14,804.94 = 6,012/x
  3. Step 3: Cross multiply
    10,727.70x = 14,804.94 × 6,012
  4. Step 4: Simplify right side
    10,727.70x = 89,007,299.28
  5. Step 5: Solve for x
    x = 89,007,299.28/10,727.70
  6. Step 6: Final answer
    x = 8,296.96

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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.