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Finding the Fourth Proportional to 13,609.72, 20,414.78 and 4,844.40

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Solution

The fourth proportional to 13,609.72, 20,414.78 and 4,844.40 is: 7,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.72 : 20,414.78 = 4,844.40 : x
  2. Step 2: Convert to fraction form
    13,609.72/20,414.78 = 4,844.40/x
  3. Step 3: Cross multiply
    13,609.72x = 20,414.78 × 4,844.40
  4. Step 4: Simplify right side
    13,609.72x = 98,897,336.01
  5. Step 5: Solve for x
    x = 98,897,336.01/13,609.72
  6. Step 6: Final answer
    x = 7,266.67

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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.