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Finding the Fourth Proportional to 8,154.22, 12,230.94 and 4,778.90

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Solution

The fourth proportional to 8,154.22, 12,230.94 and 4,778.90 is: 7,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.22 : 12,230.94 = 4,778.90 : x
  2. Step 2: Convert to fraction form
    8,154.22/12,230.94 = 4,778.90/x
  3. Step 3: Cross multiply
    8,154.22x = 12,230.94 × 4,778.90
  4. Step 4: Simplify right side
    8,154.22x = 58,450,354.12
  5. Step 5: Solve for x
    x = 58,450,354.12/8,154.22
  6. Step 6: Final answer
    x = 7,168.11

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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.