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Finding the Fourth Proportional to 6,751.86, 10,127.43 and 2,134.50

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Solution

The fourth proportional to 6,751.86, 10,127.43 and 2,134.50 is: 3,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.86 : 10,127.43 = 2,134.50 : x
  2. Step 2: Convert to fraction form
    6,751.86/10,127.43 = 2,134.50/x
  3. Step 3: Cross multiply
    6,751.86x = 10,127.43 × 2,134.50
  4. Step 4: Simplify right side
    6,751.86x = 21,616,999.34
  5. Step 5: Solve for x
    x = 21,616,999.34/6,751.86
  6. Step 6: Final answer
    x = 3,201.64

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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.