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Finding the Fourth Proportional to 13,874.70, 19,145.79 and 7,907.70

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Solution

The fourth proportional to 13,874.70, 19,145.79 and 7,907.70 is: 10,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.70 : 19,145.79 = 7,907.70 : x
  2. Step 2: Convert to fraction form
    13,874.70/19,145.79 = 7,907.70/x
  3. Step 3: Cross multiply
    13,874.70x = 19,145.79 × 7,907.70
  4. Step 4: Simplify right side
    13,874.70x = 151,399,163.58
  5. Step 5: Solve for x
    x = 151,399,163.58/13,874.70
  6. Step 6: Final answer
    x = 10,911.89

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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.