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Finding the Fourth Proportional to 6,464.61, 9,693.54 and 2,764.80

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Solution

The fourth proportional to 6,464.61, 9,693.54 and 2,764.80 is: 4,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.61 : 9,693.54 = 2,764.80 : x
  2. Step 2: Convert to fraction form
    6,464.61/9,693.54 = 2,764.80/x
  3. Step 3: Cross multiply
    6,464.61x = 9,693.54 × 2,764.80
  4. Step 4: Simplify right side
    6,464.61x = 26,800,699.39
  5. Step 5: Solve for x
    x = 26,800,699.39/6,464.61
  6. Step 6: Final answer
    x = 4,145.76

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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.