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Finding the Fourth Proportional to 6,143.42, 9,212.50 and 2,341.56

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Solution

The fourth proportional to 6,143.42, 9,212.50 and 2,341.56 is: 3,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.42 : 9,212.50 = 2,341.56 : x
  2. Step 2: Convert to fraction form
    6,143.42/9,212.50 = 2,341.56/x
  3. Step 3: Cross multiply
    6,143.42x = 9,212.50 × 2,341.56
  4. Step 4: Simplify right side
    6,143.42x = 21,571,621.50
  5. Step 5: Solve for x
    x = 21,571,621.50/6,143.42
  6. Step 6: Final answer
    x = 3,511.34

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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.