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Finding the Fourth Proportional to 6,854.81, 10,283.00 and 2,694.26

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Solution

The fourth proportional to 6,854.81, 10,283.00 and 2,694.26 is: 4,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.81 : 10,283.00 = 2,694.26 : x
  2. Step 2: Convert to fraction form
    6,854.81/10,283.00 = 2,694.26/x
  3. Step 3: Cross multiply
    6,854.81x = 10,283.00 × 2,694.26
  4. Step 4: Simplify right side
    6,854.81x = 27,705,087.82
  5. Step 5: Solve for x
    x = 27,705,087.82/6,854.81
  6. Step 6: Final answer
    x = 4,041.70

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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.