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Finding the Fourth Proportional to 13,421.82, 18,523.98 and 7,755.42

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Solution

The fourth proportional to 13,421.82, 18,523.98 and 7,755.42 is: 10,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.82 : 18,523.98 = 7,755.42 : x
  2. Step 2: Convert to fraction form
    13,421.82/18,523.98 = 7,755.42/x
  3. Step 3: Cross multiply
    13,421.82x = 18,523.98 × 7,755.42
  4. Step 4: Simplify right side
    13,421.82x = 143,661,244.97
  5. Step 5: Solve for x
    x = 143,661,244.97/13,421.82
  6. Step 6: Final answer
    x = 10,703.56

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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.