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Finding the Fourth Proportional to 13,578.63, 18,736.98 and 7,609.43

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Solution

The fourth proportional to 13,578.63, 18,736.98 and 7,609.43 is: 10,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.63 : 18,736.98 = 7,609.43 : x
  2. Step 2: Convert to fraction form
    13,578.63/18,736.98 = 7,609.43/x
  3. Step 3: Cross multiply
    13,578.63x = 18,736.98 × 7,609.43
  4. Step 4: Simplify right side
    13,578.63x = 142,577,737.72
  5. Step 5: Solve for x
    x = 142,577,737.72/13,578.63
  6. Step 6: Final answer
    x = 10,500.16

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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.