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Finding the Fourth Proportional to 6,990.75, 10,486.13 and 1,796.63

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Solution

The fourth proportional to 6,990.75, 10,486.13 and 1,796.63 is: 2,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.75 : 10,486.13 = 1,796.63 : x
  2. Step 2: Convert to fraction form
    6,990.75/10,486.13 = 1,796.63/x
  3. Step 3: Cross multiply
    6,990.75x = 10,486.13 × 1,796.63
  4. Step 4: Simplify right side
    6,990.75x = 18,839,695.74
  5. Step 5: Solve for x
    x = 18,839,695.74/6,990.75
  6. Step 6: Final answer
    x = 2,694.95

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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.