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Finding the Fourth Proportional to 9,164.94, 12,634.34 and 6,771.39

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Solution

The fourth proportional to 9,164.94, 12,634.34 and 6,771.39 is: 9,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.94 : 12,634.34 = 6,771.39 : x
  2. Step 2: Convert to fraction form
    9,164.94/12,634.34 = 6,771.39/x
  3. Step 3: Cross multiply
    9,164.94x = 12,634.34 × 6,771.39
  4. Step 4: Simplify right side
    9,164.94x = 85,552,043.53
  5. Step 5: Solve for x
    x = 85,552,043.53/9,164.94
  6. Step 6: Final answer
    x = 9,334.71

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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.