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Finding the Fourth Proportional to 7,997.66, 11,997.18 and 2,154.32

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Solution

The fourth proportional to 7,997.66, 11,997.18 and 2,154.32 is: 3,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.66 : 11,997.18 = 2,154.32 : x
  2. Step 2: Convert to fraction form
    7,997.66/11,997.18 = 2,154.32/x
  3. Step 3: Cross multiply
    7,997.66x = 11,997.18 × 2,154.32
  4. Step 4: Simplify right side
    7,997.66x = 25,845,764.82
  5. Step 5: Solve for x
    x = 25,845,764.82/7,997.66
  6. Step 6: Final answer
    x = 3,231.67

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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.