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Finding the Fourth Proportional to 13,453.16, 20,179.74 and 4,093.16

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Solution

The fourth proportional to 13,453.16, 20,179.74 and 4,093.16 is: 6,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.16 : 20,179.74 = 4,093.16 : x
  2. Step 2: Convert to fraction form
    13,453.16/20,179.74 = 4,093.16/x
  3. Step 3: Cross multiply
    13,453.16x = 20,179.74 × 4,093.16
  4. Step 4: Simplify right side
    13,453.16x = 82,598,904.58
  5. Step 5: Solve for x
    x = 82,598,904.58/13,453.16
  6. Step 6: Final answer
    x = 6,139.74

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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.