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Finding the Fourth Proportional to 6,434.86, 9,656.90 and 2,739.69

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Solution

The fourth proportional to 6,434.86, 9,656.90 and 2,739.69 is: 4,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.86 : 9,656.90 = 2,739.69 : x
  2. Step 2: Convert to fraction form
    6,434.86/9,656.90 = 2,739.69/x
  3. Step 3: Cross multiply
    6,434.86x = 9,656.90 × 2,739.69
  4. Step 4: Simplify right side
    6,434.86x = 26,456,912.36
  5. Step 5: Solve for x
    x = 26,456,912.36/6,434.86
  6. Step 6: Final answer
    x = 4,111.50

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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.