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Finding the Fourth Proportional to 11,775.56, 16,249.22 and 6,995.14

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Solution

The fourth proportional to 11,775.56, 16,249.22 and 6,995.14 is: 9,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.56 : 16,249.22 = 6,995.14 : x
  2. Step 2: Convert to fraction form
    11,775.56/16,249.22 = 6,995.14/x
  3. Step 3: Cross multiply
    11,775.56x = 16,249.22 × 6,995.14
  4. Step 4: Simplify right side
    11,775.56x = 113,665,568.79
  5. Step 5: Solve for x
    x = 113,665,568.79/11,775.56
  6. Step 6: Final answer
    x = 9,652.67

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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.