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Finding the Fourth Proportional to 12,676.54, 18,994.29 and 7,731.22

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Solution

The fourth proportional to 12,676.54, 18,994.29 and 7,731.22 is: 11,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.54 : 18,994.29 = 7,731.22 : x
  2. Step 2: Convert to fraction form
    12,676.54/18,994.29 = 7,731.22/x
  3. Step 3: Cross multiply
    12,676.54x = 18,994.29 × 7,731.22
  4. Step 4: Simplify right side
    12,676.54x = 146,849,034.73
  5. Step 5: Solve for x
    x = 146,849,034.73/12,676.54
  6. Step 6: Final answer
    x = 11,584.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.