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Finding the Fourth Proportional to 10,676.58, 16,000.94 and 7,724.97

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Solution

The fourth proportional to 10,676.58, 16,000.94 and 7,724.97 is: 11,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.58 : 16,000.94 = 7,724.97 : x
  2. Step 2: Convert to fraction form
    10,676.58/16,000.94 = 7,724.97/x
  3. Step 3: Cross multiply
    10,676.58x = 16,000.94 × 7,724.97
  4. Step 4: Simplify right side
    10,676.58x = 123,606,800.78
  5. Step 5: Solve for x
    x = 123,606,800.78/10,676.58
  6. Step 6: Final answer
    x = 11,577.37

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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.