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Finding the Fourth Proportional to 7,064.07, 9,743.02 and 5,174.97

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Solution

The fourth proportional to 7,064.07, 9,743.02 and 5,174.97 is: 7,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.07 : 9,743.02 = 5,174.97 : x
  2. Step 2: Convert to fraction form
    7,064.07/9,743.02 = 5,174.97/x
  3. Step 3: Cross multiply
    7,064.07x = 9,743.02 × 5,174.97
  4. Step 4: Simplify right side
    7,064.07x = 50,419,836.21
  5. Step 5: Solve for x
    x = 50,419,836.21/7,064.07
  6. Step 6: Final answer
    x = 7,137.51

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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.