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Finding the Fourth Proportional to 5,469.54, 7,548.42 and 4,472.02

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Solution

The fourth proportional to 5,469.54, 7,548.42 and 4,472.02 is: 6,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.54 : 7,548.42 = 4,472.02 : x
  2. Step 2: Convert to fraction form
    5,469.54/7,548.42 = 4,472.02/x
  3. Step 3: Cross multiply
    5,469.54x = 7,548.42 × 4,472.02
  4. Step 4: Simplify right side
    5,469.54x = 33,756,685.21
  5. Step 5: Solve for x
    x = 33,756,685.21/5,469.54
  6. Step 6: Final answer
    x = 6,171.76

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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.