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Finding the Fourth Proportional to 15,143.46, 20,893.79 and 9,092.16

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Solution

The fourth proportional to 15,143.46, 20,893.79 and 9,092.16 is: 12,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.46 : 20,893.79 = 9,092.16 : x
  2. Step 2: Convert to fraction form
    15,143.46/20,893.79 = 9,092.16/x
  3. Step 3: Cross multiply
    15,143.46x = 20,893.79 × 9,092.16
  4. Step 4: Simplify right side
    15,143.46x = 189,969,636.23
  5. Step 5: Solve for x
    x = 189,969,636.23/15,143.46
  6. Step 6: Final answer
    x = 12,544.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.