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Finding the Fourth Proportional to 6,998, 10,498.44 and 2,894

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Solution

The fourth proportional to 6,998, 10,498.44 and 2,894 is: 4,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 10,498.44 = 2,894 : x
  2. Step 2: Convert to fraction form
    6,998/10,498.44 = 2,894/x
  3. Step 3: Cross multiply
    6,998x = 10,498.44 × 2,894
  4. Step 4: Simplify right side
    6,998x = 30,382,485.36
  5. Step 5: Solve for x
    x = 30,382,485.36/6,998
  6. Step 6: Final answer
    x = 4,341.60

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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.