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Finding the Fourth Proportional to 6,696.94, 10,047.84 and 2,314.84

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Solution

The fourth proportional to 6,696.94, 10,047.84 and 2,314.84 is: 3,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.94 : 10,047.84 = 2,314.84 : x
  2. Step 2: Convert to fraction form
    6,696.94/10,047.84 = 2,314.84/x
  3. Step 3: Cross multiply
    6,696.94x = 10,047.84 × 2,314.84
  4. Step 4: Simplify right side
    6,696.94x = 23,259,141.95
  5. Step 5: Solve for x
    x = 23,259,141.95/6,696.94
  6. Step 6: Final answer
    x = 3,473.10

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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.