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Finding the Fourth Proportional to 11,647.95, 16,076.39 and 6,934.83

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Solution

The fourth proportional to 11,647.95, 16,076.39 and 6,934.83 is: 9,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.95 : 16,076.39 = 6,934.83 : x
  2. Step 2: Convert to fraction form
    11,647.95/16,076.39 = 6,934.83/x
  3. Step 3: Cross multiply
    11,647.95x = 16,076.39 × 6,934.83
  4. Step 4: Simplify right side
    11,647.95x = 111,486,996.99
  5. Step 5: Solve for x
    x = 111,486,996.99/11,647.95
  6. Step 6: Final answer
    x = 9,571.38

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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.