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Finding the Fourth Proportional to 14,074.96, 19,422.64 and 7,786.96

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Solution

The fourth proportional to 14,074.96, 19,422.64 and 7,786.96 is: 10,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.96 : 19,422.64 = 7,786.96 : x
  2. Step 2: Convert to fraction form
    14,074.96/19,422.64 = 7,786.96/x
  3. Step 3: Cross multiply
    14,074.96x = 19,422.64 × 7,786.96
  4. Step 4: Simplify right side
    14,074.96x = 151,243,320.77
  5. Step 5: Solve for x
    x = 151,243,320.77/14,074.96
  6. Step 6: Final answer
    x = 10,745.56

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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.