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Finding the Fourth Proportional to 25,281.82, 37,910.25 and 7,747.42

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Solution

The fourth proportional to 25,281.82, 37,910.25 and 7,747.42 is: 11,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,281.82 : 37,910.25 = 7,747.42 : x
  2. Step 2: Convert to fraction form
    25,281.82/37,910.25 = 7,747.42/x
  3. Step 3: Cross multiply
    25,281.82x = 37,910.25 × 7,747.42
  4. Step 4: Simplify right side
    25,281.82x = 293,706,629.06
  5. Step 5: Solve for x
    x = 293,706,629.06/25,281.82
  6. Step 6: Final answer
    x = 11,617.31

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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.