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Finding the Fourth Proportional to 6,283.68, 8,664.72 and 3,924.96

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Solution

The fourth proportional to 6,283.68, 8,664.72 and 3,924.96 is: 5,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.68 : 8,664.72 = 3,924.96 : x
  2. Step 2: Convert to fraction form
    6,283.68/8,664.72 = 3,924.96/x
  3. Step 3: Cross multiply
    6,283.68x = 8,664.72 × 3,924.96
  4. Step 4: Simplify right side
    6,283.68x = 34,008,679.41
  5. Step 5: Solve for x
    x = 34,008,679.41/6,283.68
  6. Step 6: Final answer
    x = 5,412.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.