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Finding the Fourth Proportional to 11,666.52, 16,099.74 and 6,361.38

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Solution

The fourth proportional to 11,666.52, 16,099.74 and 6,361.38 is: 8,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.52 : 16,099.74 = 6,361.38 : x
  2. Step 2: Convert to fraction form
    11,666.52/16,099.74 = 6,361.38/x
  3. Step 3: Cross multiply
    11,666.52x = 16,099.74 × 6,361.38
  4. Step 4: Simplify right side
    11,666.52x = 102,416,564.04
  5. Step 5: Solve for x
    x = 102,416,564.04/11,666.52
  6. Step 6: Final answer
    x = 8,778.67

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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.