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Finding the Fourth Proportional to 6,804.60, 10,202.10 and 3,511.32

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Solution

The fourth proportional to 6,804.60, 10,202.10 and 3,511.32 is: 5,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.60 : 10,202.10 = 3,511.32 : x
  2. Step 2: Convert to fraction form
    6,804.60/10,202.10 = 3,511.32/x
  3. Step 3: Cross multiply
    6,804.60x = 10,202.10 × 3,511.32
  4. Step 4: Simplify right side
    6,804.60x = 35,822,837.77
  5. Step 5: Solve for x
    x = 35,822,837.77/6,804.60
  6. Step 6: Final answer
    x = 5,264.50

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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.