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Finding the Fourth Proportional to 13,545, 20,299.68 and 5,744.16

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Solution

The fourth proportional to 13,545, 20,299.68 and 5,744.16 is: 8,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 20,299.68 = 5,744.16 : x
  2. Step 2: Convert to fraction form
    13,545/20,299.68 = 5,744.16/x
  3. Step 3: Cross multiply
    13,545x = 20,299.68 × 5,744.16
  4. Step 4: Simplify right side
    13,545x = 116,604,609.87
  5. Step 5: Solve for x
    x = 116,604,609.87/13,545
  6. Step 6: Final answer
    x = 8,608.68

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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.