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Finding the Fourth Proportional to 6,370.82, 8,782.46 and 4,476.74

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Solution

The fourth proportional to 6,370.82, 8,782.46 and 4,476.74 is: 6,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.82 : 8,782.46 = 4,476.74 : x
  2. Step 2: Convert to fraction form
    6,370.82/8,782.46 = 4,476.74/x
  3. Step 3: Cross multiply
    6,370.82x = 8,782.46 × 4,476.74
  4. Step 4: Simplify right side
    6,370.82x = 39,316,789.98
  5. Step 5: Solve for x
    x = 39,316,789.98/6,370.82
  6. Step 6: Final answer
    x = 6,171.39

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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.