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Finding the Fourth Proportional to 6,804.24, 10,154.60 and 6,629.28

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Solution

The fourth proportional to 6,804.24, 10,154.60 and 6,629.28 is: 9,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.24 : 10,154.60 = 6,629.28 : x
  2. Step 2: Convert to fraction form
    6,804.24/10,154.60 = 6,629.28/x
  3. Step 3: Cross multiply
    6,804.24x = 10,154.60 × 6,629.28
  4. Step 4: Simplify right side
    6,804.24x = 67,317,653.54
  5. Step 5: Solve for x
    x = 67,317,653.54/6,804.24
  6. Step 6: Final answer
    x = 9,893.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.