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Finding the Fourth Proportional to 8,000.46, 11,984.22 and 7,078.41

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Solution

The fourth proportional to 8,000.46, 11,984.22 and 7,078.41 is: 10,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.46 : 11,984.22 = 7,078.41 : x
  2. Step 2: Convert to fraction form
    8,000.46/11,984.22 = 7,078.41/x
  3. Step 3: Cross multiply
    8,000.46x = 11,984.22 × 7,078.41
  4. Step 4: Simplify right side
    8,000.46x = 84,829,222.69
  5. Step 5: Solve for x
    x = 84,829,222.69/8,000.46
  6. Step 6: Final answer
    x = 10,603.04

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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.