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Finding the Fourth Proportional to 6,098.94, 9,148.37 and 1,481.94

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Solution

The fourth proportional to 6,098.94, 9,148.37 and 1,481.94 is: 2,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.94 : 9,148.37 = 1,481.94 : x
  2. Step 2: Convert to fraction form
    6,098.94/9,148.37 = 1,481.94/x
  3. Step 3: Cross multiply
    6,098.94x = 9,148.37 × 1,481.94
  4. Step 4: Simplify right side
    6,098.94x = 13,557,328.03
  5. Step 5: Solve for x
    x = 13,557,328.03/6,098.94
  6. Step 6: Final answer
    x = 2,222.90

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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.