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Finding the Fourth Proportional to 12,289.60, 18,441.60 and 4,499.20

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Solution

The fourth proportional to 12,289.60, 18,441.60 and 4,499.20 is: 6,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.60 : 18,441.60 = 4,499.20 : x
  2. Step 2: Convert to fraction form
    12,289.60/18,441.60 = 4,499.20/x
  3. Step 3: Cross multiply
    12,289.60x = 18,441.60 × 4,499.20
  4. Step 4: Simplify right side
    12,289.60x = 82,972,446.72
  5. Step 5: Solve for x
    x = 82,972,446.72/12,289.60
  6. Step 6: Final answer
    x = 6,751.44

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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.