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Finding the Fourth Proportional to 25,282.28, 37,923.44 and 6,814.28

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Solution

The fourth proportional to 25,282.28, 37,923.44 and 6,814.28 is: 10,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.28 : 37,923.44 = 6,814.28 : x
  2. Step 2: Convert to fraction form
    25,282.28/37,923.44 = 6,814.28/x
  3. Step 3: Cross multiply
    25,282.28x = 37,923.44 × 6,814.28
  4. Step 4: Simplify right side
    25,282.28x = 258,420,938.72
  5. Step 5: Solve for x
    x = 258,420,938.72/25,282.28
  6. Step 6: Final answer
    x = 10,221.43

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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.