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Finding the Fourth Proportional to 11,760.92, 16,230.06 and 6,656.34

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Solution

The fourth proportional to 11,760.92, 16,230.06 and 6,656.34 is: 9,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.92 : 16,230.06 = 6,656.34 : x
  2. Step 2: Convert to fraction form
    11,760.92/16,230.06 = 6,656.34/x
  3. Step 3: Cross multiply
    11,760.92x = 16,230.06 × 6,656.34
  4. Step 4: Simplify right side
    11,760.92x = 108,032,764.30
  5. Step 5: Solve for x
    x = 108,032,764.30/11,760.92
  6. Step 6: Final answer
    x = 9,185.74

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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.