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Finding the Fourth Proportional to 13,907.14, 19,191.86 and 7,619.38

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Solution

The fourth proportional to 13,907.14, 19,191.86 and 7,619.38 is: 10,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.14 : 19,191.86 = 7,619.38 : x
  2. Step 2: Convert to fraction form
    13,907.14/19,191.86 = 7,619.38/x
  3. Step 3: Cross multiply
    13,907.14x = 19,191.86 × 7,619.38
  4. Step 4: Simplify right side
    13,907.14x = 146,230,074.25
  5. Step 5: Solve for x
    x = 146,230,074.25/13,907.14
  6. Step 6: Final answer
    x = 10,514.75

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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.