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Finding the Fourth Proportional to 11,914.16, 16,441.84 and 7,195.68

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Solution

The fourth proportional to 11,914.16, 16,441.84 and 7,195.68 is: 9,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.16 : 16,441.84 = 7,195.68 : x
  2. Step 2: Convert to fraction form
    11,914.16/16,441.84 = 7,195.68/x
  3. Step 3: Cross multiply
    11,914.16x = 16,441.84 × 7,195.68
  4. Step 4: Simplify right side
    11,914.16x = 118,310,219.25
  5. Step 5: Solve for x
    x = 118,310,219.25/11,914.16
  6. Step 6: Final answer
    x = 9,930.22

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Double scale
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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.