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Finding the Fourth Proportional to 11,657.52, 16,086.84 and 6,942.32

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Solution

The fourth proportional to 11,657.52, 16,086.84 and 6,942.32 is: 9,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.52 : 16,086.84 = 6,942.32 : x
  2. Step 2: Convert to fraction form
    11,657.52/16,086.84 = 6,942.32/x
  3. Step 3: Cross multiply
    11,657.52x = 16,086.84 × 6,942.32
  4. Step 4: Simplify right side
    11,657.52x = 111,679,991.07
  5. Step 5: Solve for x
    x = 111,679,991.07/11,657.52
  6. Step 6: Final answer
    x = 9,580.08

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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.