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Finding the Fourth Proportional to 11,137.98, 16,706.97 and 4,562.97

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Solution

The fourth proportional to 11,137.98, 16,706.97 and 4,562.97 is: 6,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.98 : 16,706.97 = 4,562.97 : x
  2. Step 2: Convert to fraction form
    11,137.98/16,706.97 = 4,562.97/x
  3. Step 3: Cross multiply
    11,137.98x = 16,706.97 × 4,562.97
  4. Step 4: Simplify right side
    11,137.98x = 76,233,402.90
  5. Step 5: Solve for x
    x = 76,233,402.90/11,137.98
  6. Step 6: Final answer
    x = 6,844.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.