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Finding the Fourth Proportional to 6,494.66, 9,743.21 and 2,113.37

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Solution

The fourth proportional to 6,494.66, 9,743.21 and 2,113.37 is: 3,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.66 : 9,743.21 = 2,113.37 : x
  2. Step 2: Convert to fraction form
    6,494.66/9,743.21 = 2,113.37/x
  3. Step 3: Cross multiply
    6,494.66x = 9,743.21 × 2,113.37
  4. Step 4: Simplify right side
    6,494.66x = 20,590,948.43
  5. Step 5: Solve for x
    x = 20,590,948.43/6,494.66
  6. Step 6: Final answer
    x = 3,170.45

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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.