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Finding the Fourth Proportional to 9,222.40, 13,817.10 and 5,609.40

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Solution

The fourth proportional to 9,222.40, 13,817.10 and 5,609.40 is: 8,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.40 : 13,817.10 = 5,609.40 : x
  2. Step 2: Convert to fraction form
    9,222.40/13,817.10 = 5,609.40/x
  3. Step 3: Cross multiply
    9,222.40x = 13,817.10 × 5,609.40
  4. Step 4: Simplify right side
    9,222.40x = 77,505,640.74
  5. Step 5: Solve for x
    x = 77,505,640.74/9,222.40
  6. Step 6: Final answer
    x = 8,404.06

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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.