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Finding the Fourth Proportional to 10,804.82, 14,912.79 and 6,823.94

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Solution

The fourth proportional to 10,804.82, 14,912.79 and 6,823.94 is: 9,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.82 : 14,912.79 = 6,823.94 : x
  2. Step 2: Convert to fraction form
    10,804.82/14,912.79 = 6,823.94/x
  3. Step 3: Cross multiply
    10,804.82x = 14,912.79 × 6,823.94
  4. Step 4: Simplify right side
    10,804.82x = 101,763,984.19
  5. Step 5: Solve for x
    x = 101,763,984.19/10,804.82
  6. Step 6: Final answer
    x = 9,418.39

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1.5x scale

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.