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Finding the Fourth Proportional to 11,657.51, 16,086.83 and 6,352.32

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Solution

The fourth proportional to 11,657.51, 16,086.83 and 6,352.32 is: 8,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.51 : 16,086.83 = 6,352.32 : x
  2. Step 2: Convert to fraction form
    11,657.51/16,086.83 = 6,352.32/x
  3. Step 3: Cross multiply
    11,657.51x = 16,086.83 × 6,352.32
  4. Step 4: Simplify right side
    11,657.51x = 102,188,660.18
  5. Step 5: Solve for x
    x = 102,188,660.18/11,657.51
  6. Step 6: Final answer
    x = 8,765.91

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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.