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Finding the Fourth Proportional to 11,635.92, 16,058.16 and 10,815.84

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Solution

The fourth proportional to 11,635.92, 16,058.16 and 10,815.84 is: 14,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.92 : 16,058.16 = 10,815.84 : x
  2. Step 2: Convert to fraction form
    11,635.92/16,058.16 = 10,815.84/x
  3. Step 3: Cross multiply
    11,635.92x = 16,058.16 × 10,815.84
  4. Step 4: Simplify right side
    11,635.92x = 173,682,489.25
  5. Step 5: Solve for x
    x = 173,682,489.25/11,635.92
  6. Step 6: Final answer
    x = 14,926.41

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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.