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Finding the Fourth Proportional to 6,484.87, 9,727.44 and 2,102.32

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Solution

The fourth proportional to 6,484.87, 9,727.44 and 2,102.32 is: 3,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.87 : 9,727.44 = 2,102.32 : x
  2. Step 2: Convert to fraction form
    6,484.87/9,727.44 = 2,102.32/x
  3. Step 3: Cross multiply
    6,484.87x = 9,727.44 × 2,102.32
  4. Step 4: Simplify right side
    6,484.87x = 20,450,191.66
  5. Step 5: Solve for x
    x = 20,450,191.66/6,484.87
  6. Step 6: Final answer
    x = 3,153.52

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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.