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Finding the Fourth Proportional to 16,093.40, 24,147 and 6,735.62

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Solution

The fourth proportional to 16,093.40, 24,147 and 6,735.62 is: 10,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.40 : 24,147 = 6,735.62 : x
  2. Step 2: Convert to fraction form
    16,093.40/24,147 = 6,735.62/x
  3. Step 3: Cross multiply
    16,093.40x = 24,147 × 6,735.62
  4. Step 4: Simplify right side
    16,093.40x = 162,645,016.14
  5. Step 5: Solve for x
    x = 162,645,016.14/16,093.40
  6. Step 6: Final answer
    x = 10,106.32

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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.