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Finding the Fourth Proportional to 16,289.62, 22,478.01 and 9,119.07

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Solution

The fourth proportional to 16,289.62, 22,478.01 and 9,119.07 is: 12,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.62 : 22,478.01 = 9,119.07 : x
  2. Step 2: Convert to fraction form
    16,289.62/22,478.01 = 9,119.07/x
  3. Step 3: Cross multiply
    16,289.62x = 22,478.01 × 9,119.07
  4. Step 4: Simplify right side
    16,289.62x = 204,978,546.65
  5. Step 5: Solve for x
    x = 204,978,546.65/16,289.62
  6. Step 6: Final answer
    x = 12,583.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.