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Finding the Fourth Proportional to 14,057.81, 19,399.44 and 7,684.12

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Solution

The fourth proportional to 14,057.81, 19,399.44 and 7,684.12 is: 10,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.81 : 19,399.44 = 7,684.12 : x
  2. Step 2: Convert to fraction form
    14,057.81/19,399.44 = 7,684.12/x
  3. Step 3: Cross multiply
    14,057.81x = 19,399.44 × 7,684.12
  4. Step 4: Simplify right side
    14,057.81x = 149,067,624.89
  5. Step 5: Solve for x
    x = 149,067,624.89/14,057.81
  6. Step 6: Final answer
    x = 10,603.90

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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.