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Finding the Fourth Proportional to 8,396.94, 11,573.49 and 5,739.75

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Solution

The fourth proportional to 8,396.94, 11,573.49 and 5,739.75 is: 7,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.94 : 11,573.49 = 5,739.75 : x
  2. Step 2: Convert to fraction form
    8,396.94/11,573.49 = 5,739.75/x
  3. Step 3: Cross multiply
    8,396.94x = 11,573.49 × 5,739.75
  4. Step 4: Simplify right side
    8,396.94x = 66,428,939.23
  5. Step 5: Solve for x
    x = 66,428,939.23/8,396.94
  6. Step 6: Final answer
    x = 7,911.09

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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.