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Finding the Fourth Proportional to 6,494.64, 9,741.66 and 5,204.34

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Solution

The fourth proportional to 6,494.64, 9,741.66 and 5,204.34 is: 7,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.64 : 9,741.66 = 5,204.34 : x
  2. Step 2: Convert to fraction form
    6,494.64/9,741.66 = 5,204.34/x
  3. Step 3: Cross multiply
    6,494.64x = 9,741.66 × 5,204.34
  4. Step 4: Simplify right side
    6,494.64x = 50,698,910.80
  5. Step 5: Solve for x
    x = 50,698,910.80/6,494.64
  6. Step 6: Final answer
    x = 7,806.27

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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.