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Finding the Fourth Proportional to 9,072.80, 13,609.20 and 7,614.80

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Solution

The fourth proportional to 9,072.80, 13,609.20 and 7,614.80 is: 11,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.80 : 13,609.20 = 7,614.80 : x
  2. Step 2: Convert to fraction form
    9,072.80/13,609.20 = 7,614.80/x
  3. Step 3: Cross multiply
    9,072.80x = 13,609.20 × 7,614.80
  4. Step 4: Simplify right side
    9,072.80x = 103,631,336.16
  5. Step 5: Solve for x
    x = 103,631,336.16/9,072.80
  6. Step 6: Final answer
    x = 11,422.20

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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.