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Finding the Fourth Proportional to 9,226.80, 13,840.20 and 8,823.60

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Solution

The fourth proportional to 9,226.80, 13,840.20 and 8,823.60 is: 13,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.80 : 13,840.20 = 8,823.60 : x
  2. Step 2: Convert to fraction form
    9,226.80/13,840.20 = 8,823.60/x
  3. Step 3: Cross multiply
    9,226.80x = 13,840.20 × 8,823.60
  4. Step 4: Simplify right side
    9,226.80x = 122,120,388.72
  5. Step 5: Solve for x
    x = 122,120,388.72/9,226.80
  6. Step 6: Final answer
    x = 13,235.40

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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.