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Finding the Fourth Proportional to 6,494.81, 9,743.79 and 2,797.08

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Solution

The fourth proportional to 6,494.81, 9,743.79 and 2,797.08 is: 4,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.81 : 9,743.79 = 2,797.08 : x
  2. Step 2: Convert to fraction form
    6,494.81/9,743.79 = 2,797.08/x
  3. Step 3: Cross multiply
    6,494.81x = 9,743.79 × 2,797.08
  4. Step 4: Simplify right side
    6,494.81x = 27,254,160.13
  5. Step 5: Solve for x
    x = 27,254,160.13/6,494.81
  6. Step 6: Final answer
    x = 4,196.30

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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.