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Finding the Fourth Proportional to 8,684.71, 11,982.27 and 4,907.41

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Solution

The fourth proportional to 8,684.71, 11,982.27 and 4,907.41 is: 6,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.71 : 11,982.27 = 4,907.41 : x
  2. Step 2: Convert to fraction form
    8,684.71/11,982.27 = 4,907.41/x
  3. Step 3: Cross multiply
    8,684.71x = 11,982.27 × 4,907.41
  4. Step 4: Simplify right side
    8,684.71x = 58,801,911.62
  5. Step 5: Solve for x
    x = 58,801,911.62/8,684.71
  6. Step 6: Final answer
    x = 6,770.74

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1.5x scale

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.