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Finding the Fourth Proportional to 6,078.98, 9,118.46 and 4,694.33

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Solution

The fourth proportional to 6,078.98, 9,118.46 and 4,694.33 is: 7,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.98 : 9,118.46 = 4,694.33 : x
  2. Step 2: Convert to fraction form
    6,078.98/9,118.46 = 4,694.33/x
  3. Step 3: Cross multiply
    6,078.98x = 9,118.46 × 4,694.33
  4. Step 4: Simplify right side
    6,078.98x = 42,805,072.07
  5. Step 5: Solve for x
    x = 42,805,072.07/6,078.98
  6. Step 6: Final answer
    x = 7,041.50

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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.