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Finding the Fourth Proportional to 9,198.28, 13,804.32 and 6,739.36

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Solution

The fourth proportional to 9,198.28, 13,804.32 and 6,739.36 is: 10,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.28 : 13,804.32 = 6,739.36 : x
  2. Step 2: Convert to fraction form
    9,198.28/13,804.32 = 6,739.36/x
  3. Step 3: Cross multiply
    9,198.28x = 13,804.32 × 6,739.36
  4. Step 4: Simplify right side
    9,198.28x = 93,032,282.04
  5. Step 5: Solve for x
    x = 93,032,282.04/9,198.28
  6. Step 6: Final answer
    x = 10,114.10

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1.5x scale

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.