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Finding the Fourth Proportional to 13,902.75, 19,186.11 and 7,934.31

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Solution

The fourth proportional to 13,902.75, 19,186.11 and 7,934.31 is: 10,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.75 : 19,186.11 = 7,934.31 : x
  2. Step 2: Convert to fraction form
    13,902.75/19,186.11 = 7,934.31/x
  3. Step 3: Cross multiply
    13,902.75x = 19,186.11 × 7,934.31
  4. Step 4: Simplify right side
    13,902.75x = 152,228,544.43
  5. Step 5: Solve for x
    x = 152,228,544.43/13,902.75
  6. Step 6: Final answer
    x = 10,949.53

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Half scale
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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.