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Finding the Fourth Proportional to 6,097.57, 9,147.13 and 1,936.09

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Solution

The fourth proportional to 6,097.57, 9,147.13 and 1,936.09 is: 2,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.57 : 9,147.13 = 1,936.09 : x
  2. Step 2: Convert to fraction form
    6,097.57/9,147.13 = 1,936.09/x
  3. Step 3: Cross multiply
    6,097.57x = 9,147.13 × 1,936.09
  4. Step 4: Simplify right side
    6,097.57x = 17,709,673.52
  5. Step 5: Solve for x
    x = 17,709,673.52/6,097.57
  6. Step 6: Final answer
    x = 2,904.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.