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Finding the Fourth Proportional to 6,959.86, 10,440.87 and 2,342.50

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Solution

The fourth proportional to 6,959.86, 10,440.87 and 2,342.50 is: 3,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.86 : 10,440.87 = 2,342.50 : x
  2. Step 2: Convert to fraction form
    6,959.86/10,440.87 = 2,342.50/x
  3. Step 3: Cross multiply
    6,959.86x = 10,440.87 × 2,342.50
  4. Step 4: Simplify right side
    6,959.86x = 24,457,737.98
  5. Step 5: Solve for x
    x = 24,457,737.98/6,959.86
  6. Step 6: Final answer
    x = 3,514.11

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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.