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Finding the Fourth Proportional to 14,074.68, 19,422.42 and 7,786.92

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Solution

The fourth proportional to 14,074.68, 19,422.42 and 7,786.92 is: 10,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.68 : 19,422.42 = 7,786.92 : x
  2. Step 2: Convert to fraction form
    14,074.68/19,422.42 = 7,786.92/x
  3. Step 3: Cross multiply
    14,074.68x = 19,422.42 × 7,786.92
  4. Step 4: Simplify right side
    14,074.68x = 151,240,830.75
  5. Step 5: Solve for x
    x = 151,240,830.75/14,074.68
  6. Step 6: Final answer
    x = 10,745.60

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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.