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Finding the Fourth Proportional to 7,453.99, 11,181 and 1,907.14

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Solution

The fourth proportional to 7,453.99, 11,181 and 1,907.14 is: 2,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.99 : 11,181 = 1,907.14 : x
  2. Step 2: Convert to fraction form
    7,453.99/11,181 = 1,907.14/x
  3. Step 3: Cross multiply
    7,453.99x = 11,181 × 1,907.14
  4. Step 4: Simplify right side
    7,453.99x = 21,323,732.34
  5. Step 5: Solve for x
    x = 21,323,732.34/7,453.99
  6. Step 6: Final answer
    x = 2,860.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.