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Finding the Fourth Proportional to 11,954.34, 16,493.94 and 6,647.94

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Solution

The fourth proportional to 11,954.34, 16,493.94 and 6,647.94 is: 9,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.34 : 16,493.94 = 6,647.94 : x
  2. Step 2: Convert to fraction form
    11,954.34/16,493.94 = 6,647.94/x
  3. Step 3: Cross multiply
    11,954.34x = 16,493.94 × 6,647.94
  4. Step 4: Simplify right side
    11,954.34x = 109,650,723.48
  5. Step 5: Solve for x
    x = 109,650,723.48/11,954.34
  6. Step 6: Final answer
    x = 9,172.46

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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.