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Finding the Fourth Proportional to 9,884.56, 13,629.48 and 7,396.24

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Solution

The fourth proportional to 9,884.56, 13,629.48 and 7,396.24 is: 10,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.56 : 13,629.48 = 7,396.24 : x
  2. Step 2: Convert to fraction form
    9,884.56/13,629.48 = 7,396.24/x
  3. Step 3: Cross multiply
    9,884.56x = 13,629.48 × 7,396.24
  4. Step 4: Simplify right side
    9,884.56x = 100,806,905.16
  5. Step 5: Solve for x
    x = 100,806,905.16/9,884.56
  6. Step 6: Final answer
    x = 10,198.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.