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Finding the Fourth Proportional to 9,716.66, 13,408.50 and 5,524.82

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Solution

The fourth proportional to 9,716.66, 13,408.50 and 5,524.82 is: 7,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.66 : 13,408.50 = 5,524.82 : x
  2. Step 2: Convert to fraction form
    9,716.66/13,408.50 = 5,524.82/x
  3. Step 3: Cross multiply
    9,716.66x = 13,408.50 × 5,524.82
  4. Step 4: Simplify right side
    9,716.66x = 74,079,548.97
  5. Step 5: Solve for x
    x = 74,079,548.97/9,716.66
  6. Step 6: Final answer
    x = 7,623.97

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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.