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Finding the Fourth Proportional to 6,958.86, 10,439.37 and 2,341.50

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Solution

The fourth proportional to 6,958.86, 10,439.37 and 2,341.50 is: 3,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.86 : 10,439.37 = 2,341.50 : x
  2. Step 2: Convert to fraction form
    6,958.86/10,439.37 = 2,341.50/x
  3. Step 3: Cross multiply
    6,958.86x = 10,439.37 × 2,341.50
  4. Step 4: Simplify right side
    6,958.86x = 24,443,784.86
  5. Step 5: Solve for x
    x = 24,443,784.86/6,958.86
  6. Step 6: Final answer
    x = 3,512.61

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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.