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Finding the Fourth Proportional to 6,197.67, 9,243.50 and 5,978.97

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Solution

The fourth proportional to 6,197.67, 9,243.50 and 5,978.97 is: 8,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.67 : 9,243.50 = 5,978.97 : x
  2. Step 2: Convert to fraction form
    6,197.67/9,243.50 = 5,978.97/x
  3. Step 3: Cross multiply
    6,197.67x = 9,243.50 × 5,978.97
  4. Step 4: Simplify right side
    6,197.67x = 55,266,579.30
  5. Step 5: Solve for x
    x = 55,266,579.30/6,197.67
  6. Step 6: Final answer
    x = 8,917.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.