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Finding the Fourth Proportional to 11,657.21, 16,086.95 and 6,352.02

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Solution

The fourth proportional to 11,657.21, 16,086.95 and 6,352.02 is: 8,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.21 : 16,086.95 = 6,352.02 : x
  2. Step 2: Convert to fraction form
    11,657.21/16,086.95 = 6,352.02/x
  3. Step 3: Cross multiply
    11,657.21x = 16,086.95 × 6,352.02
  4. Step 4: Simplify right side
    11,657.21x = 102,184,596.38
  5. Step 5: Solve for x
    x = 102,184,596.38/11,657.21
  6. Step 6: Final answer
    x = 8,765.79

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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.