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Finding the Fourth Proportional to 6,098.67, 9,148.47 and 1,938.54

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Solution

The fourth proportional to 6,098.67, 9,148.47 and 1,938.54 is: 2,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.67 : 9,148.47 = 1,938.54 : x
  2. Step 2: Convert to fraction form
    6,098.67/9,148.47 = 1,938.54/x
  3. Step 3: Cross multiply
    6,098.67x = 9,148.47 × 1,938.54
  4. Step 4: Simplify right side
    6,098.67x = 17,734,675.03
  5. Step 5: Solve for x
    x = 17,734,675.03/6,098.67
  6. Step 6: Final answer
    x = 2,907.96

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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.