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Finding the Fourth Proportional to 8,676.74, 11,964.56 and 8,494.50

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Solution

The fourth proportional to 8,676.74, 11,964.56 and 8,494.50 is: 11,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.74 : 11,964.56 = 8,494.50 : x
  2. Step 2: Convert to fraction form
    8,676.74/11,964.56 = 8,494.50/x
  3. Step 3: Cross multiply
    8,676.74x = 11,964.56 × 8,494.50
  4. Step 4: Simplify right side
    8,676.74x = 101,632,954.92
  5. Step 5: Solve for x
    x = 101,632,954.92/8,676.74
  6. Step 6: Final answer
    x = 11,713.26

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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.