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Finding the Fourth Proportional to 13,894.80, 19,173 and 8,519.64

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Solution

The fourth proportional to 13,894.80, 19,173 and 8,519.64 is: 11,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.80 : 19,173 = 8,519.64 : x
  2. Step 2: Convert to fraction form
    13,894.80/19,173 = 8,519.64/x
  3. Step 3: Cross multiply
    13,894.80x = 19,173 × 8,519.64
  4. Step 4: Simplify right side
    13,894.80x = 163,347,057.72
  5. Step 5: Solve for x
    x = 163,347,057.72/13,894.80
  6. Step 6: Final answer
    x = 11,755.98

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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.