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Finding the Fourth Proportional to 6,694.75, 10,039.20 and 3,574.05

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Solution

The fourth proportional to 6,694.75, 10,039.20 and 3,574.05 is: 5,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.75 : 10,039.20 = 3,574.05 : x
  2. Step 2: Convert to fraction form
    6,694.75/10,039.20 = 3,574.05/x
  3. Step 3: Cross multiply
    6,694.75x = 10,039.20 × 3,574.05
  4. Step 4: Simplify right side
    6,694.75x = 35,880,602.76
  5. Step 5: Solve for x
    x = 35,880,602.76/6,694.75
  6. Step 6: Final answer
    x = 5,359.51

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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.