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Finding the Fourth Proportional to 8,522.25, 12,763.55 and 8,226.60

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Solution

The fourth proportional to 8,522.25, 12,763.55 and 8,226.60 is: 12,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.25 : 12,763.55 = 8,226.60 : x
  2. Step 2: Convert to fraction form
    8,522.25/12,763.55 = 8,226.60/x
  3. Step 3: Cross multiply
    8,522.25x = 12,763.55 × 8,226.60
  4. Step 4: Simplify right side
    8,522.25x = 105,000,618.65
  5. Step 5: Solve for x
    x = 105,000,618.65/8,522.25
  6. Step 6: Final answer
    x = 12,320.77

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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.