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Finding the Fourth Proportional to 11,657.88, 16,087.82 and 6,352.92

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Solution

The fourth proportional to 11,657.88, 16,087.82 and 6,352.92 is: 8,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.88 : 16,087.82 = 6,352.92 : x
  2. Step 2: Convert to fraction form
    11,657.88/16,087.82 = 6,352.92/x
  3. Step 3: Cross multiply
    11,657.88x = 16,087.82 × 6,352.92
  4. Step 4: Simplify right side
    11,657.88x = 102,204,601.67
  5. Step 5: Solve for x
    x = 102,204,601.67/11,657.88
  6. Step 6: Final answer
    x = 8,767.00

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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.