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Finding the Fourth Proportional to 6,341.78, 9,512.52 and 2,643.93

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Solution

The fourth proportional to 6,341.78, 9,512.52 and 2,643.93 is: 3,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.78 : 9,512.52 = 2,643.93 : x
  2. Step 2: Convert to fraction form
    6,341.78/9,512.52 = 2,643.93/x
  3. Step 3: Cross multiply
    6,341.78x = 9,512.52 × 2,643.93
  4. Step 4: Simplify right side
    6,341.78x = 25,150,437.00
  5. Step 5: Solve for x
    x = 25,150,437.00/6,341.78
  6. Step 6: Final answer
    x = 3,965.83

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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.