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Finding the Fourth Proportional to 8,098.38, 11,171.94 and 4,739.11

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Solution

The fourth proportional to 8,098.38, 11,171.94 and 4,739.11 is: 6,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.38 : 11,171.94 = 4,739.11 : x
  2. Step 2: Convert to fraction form
    8,098.38/11,171.94 = 4,739.11/x
  3. Step 3: Cross multiply
    8,098.38x = 11,171.94 × 4,739.11
  4. Step 4: Simplify right side
    8,098.38x = 52,945,084.31
  5. Step 5: Solve for x
    x = 52,945,084.31/8,098.38
  6. Step 6: Final answer
    x = 6,537.74

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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.