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Finding the Fourth Proportional to 6,296.64, 8,678.99 and 4,615.38

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Solution

The fourth proportional to 6,296.64, 8,678.99 and 4,615.38 is: 6,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.64 : 8,678.99 = 4,615.38 : x
  2. Step 2: Convert to fraction form
    6,296.64/8,678.99 = 4,615.38/x
  3. Step 3: Cross multiply
    6,296.64x = 8,678.99 × 4,615.38
  4. Step 4: Simplify right side
    6,296.64x = 40,056,813.79
  5. Step 5: Solve for x
    x = 40,056,813.79/6,296.64
  6. Step 6: Final answer
    x = 6,361.62

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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.