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Finding the Fourth Proportional to 6,494.36, 9,742.58 and 2,278.78

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Solution

The fourth proportional to 6,494.36, 9,742.58 and 2,278.78 is: 3,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.36 : 9,742.58 = 2,278.78 : x
  2. Step 2: Convert to fraction form
    6,494.36/9,742.58 = 2,278.78/x
  3. Step 3: Cross multiply
    6,494.36x = 9,742.58 × 2,278.78
  4. Step 4: Simplify right side
    6,494.36x = 22,201,196.45
  5. Step 5: Solve for x
    x = 22,201,196.45/6,494.36
  6. Step 6: Final answer
    x = 3,418.54

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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.