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Finding the Fourth Proportional to 8,553.18, 11,766.39 and 6,977.82

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Solution

The fourth proportional to 8,553.18, 11,766.39 and 6,977.82 is: 9,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.18 : 11,766.39 = 6,977.82 : x
  2. Step 2: Convert to fraction form
    8,553.18/11,766.39 = 6,977.82/x
  3. Step 3: Cross multiply
    8,553.18x = 11,766.39 × 6,977.82
  4. Step 4: Simplify right side
    8,553.18x = 82,103,751.47
  5. Step 5: Solve for x
    x = 82,103,751.47/8,553.18
  6. Step 6: Final answer
    x = 9,599.21

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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.