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Finding the Fourth Proportional to 13,429, 20,144.04 and 3,568.36

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Solution

The fourth proportional to 13,429, 20,144.04 and 3,568.36 is: 5,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429 : 20,144.04 = 3,568.36 : x
  2. Step 2: Convert to fraction form
    13,429/20,144.04 = 3,568.36/x
  3. Step 3: Cross multiply
    13,429x = 20,144.04 × 3,568.36
  4. Step 4: Simplify right side
    13,429x = 71,881,186.57
  5. Step 5: Solve for x
    x = 71,881,186.57/13,429
  6. Step 6: Final answer
    x = 5,352.68

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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.