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Finding the Fourth Proportional to 25,968, 38,958.48 and 7,500

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Solution

The fourth proportional to 25,968, 38,958.48 and 7,500 is: 11,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,968 : 38,958.48 = 7,500 : x
  2. Step 2: Convert to fraction form
    25,968/38,958.48 = 7,500/x
  3. Step 3: Cross multiply
    25,968x = 38,958.48 × 7,500
  4. Step 4: Simplify right side
    25,968x = 292,188,600
  5. Step 5: Solve for x
    x = 292,188,600/25,968
  6. Step 6: Final answer
    x = 11,251.87

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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.