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Finding the Fourth Proportional to 6,804.50, 10,202.66 and 3,055.60

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Solution

The fourth proportional to 6,804.50, 10,202.66 and 3,055.60 is: 4,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.50 : 10,202.66 = 3,055.60 : x
  2. Step 2: Convert to fraction form
    6,804.50/10,202.66 = 3,055.60/x
  3. Step 3: Cross multiply
    6,804.50x = 10,202.66 × 3,055.60
  4. Step 4: Simplify right side
    6,804.50x = 31,175,247.90
  5. Step 5: Solve for x
    x = 31,175,247.90/6,804.50
  6. Step 6: Final answer
    x = 4,581.56

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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.