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Finding the Fourth Proportional to 8,094, 12,146.04 and 3,477

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Solution

The fourth proportional to 8,094, 12,146.04 and 3,477 is: 5,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094 : 12,146.04 = 3,477 : x
  2. Step 2: Convert to fraction form
    8,094/12,146.04 = 3,477/x
  3. Step 3: Cross multiply
    8,094x = 12,146.04 × 3,477
  4. Step 4: Simplify right side
    8,094x = 42,231,781.08
  5. Step 5: Solve for x
    x = 42,231,781.08/8,094
  6. Step 6: Final answer
    x = 5,217.67

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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.