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Finding the Fourth Proportional to 7,224.44, 9,969.72 and 3,912.44

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Solution

The fourth proportional to 7,224.44, 9,969.72 and 3,912.44 is: 5,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.44 : 9,969.72 = 3,912.44 : x
  2. Step 2: Convert to fraction form
    7,224.44/9,969.72 = 3,912.44/x
  3. Step 3: Cross multiply
    7,224.44x = 9,969.72 × 3,912.44
  4. Step 4: Simplify right side
    7,224.44x = 39,005,931.32
  5. Step 5: Solve for x
    x = 39,005,931.32/7,224.44
  6. Step 6: Final answer
    x = 5,399.16

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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.