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Finding the Fourth Proportional to 18,412.80, 27,620.10 and 9,664.80

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Solution

The fourth proportional to 18,412.80, 27,620.10 and 9,664.80 is: 14,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.80 : 27,620.10 = 9,664.80 : x
  2. Step 2: Convert to fraction form
    18,412.80/27,620.10 = 9,664.80/x
  3. Step 3: Cross multiply
    18,412.80x = 27,620.10 × 9,664.80
  4. Step 4: Simplify right side
    18,412.80x = 266,942,742.48
  5. Step 5: Solve for x
    x = 266,942,742.48/18,412.80
  6. Step 6: Final answer
    x = 14,497.67

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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.