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Finding the Fourth Proportional to 6,047.88, 9,072.98 and 2,098.82

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Solution

The fourth proportional to 6,047.88, 9,072.98 and 2,098.82 is: 3,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.88 : 9,072.98 = 2,098.82 : x
  2. Step 2: Convert to fraction form
    6,047.88/9,072.98 = 2,098.82/x
  3. Step 3: Cross multiply
    6,047.88x = 9,072.98 × 2,098.82
  4. Step 4: Simplify right side
    6,047.88x = 19,042,551.88
  5. Step 5: Solve for x
    x = 19,042,551.88/6,047.88
  6. Step 6: Final answer
    x = 3,148.63

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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.