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Finding the Fourth Proportional to 6,804.74, 10,206.09 and 3,245.96

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Solution

The fourth proportional to 6,804.74, 10,206.09 and 3,245.96 is: 4,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.74 : 10,206.09 = 3,245.96 : x
  2. Step 2: Convert to fraction form
    6,804.74/10,206.09 = 3,245.96/x
  3. Step 3: Cross multiply
    6,804.74x = 10,206.09 × 3,245.96
  4. Step 4: Simplify right side
    6,804.74x = 33,128,559.90
  5. Step 5: Solve for x
    x = 33,128,559.90/6,804.74
  6. Step 6: Final answer
    x = 4,868.45

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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.