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Finding the Fourth Proportional to 25,314.75, 37,972.17 and 6,846.75

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Solution

The fourth proportional to 25,314.75, 37,972.17 and 6,846.75 is: 10,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314.75 : 37,972.17 = 6,846.75 : x
  2. Step 2: Convert to fraction form
    25,314.75/37,972.17 = 6,846.75/x
  3. Step 3: Cross multiply
    25,314.75x = 37,972.17 × 6,846.75
  4. Step 4: Simplify right side
    25,314.75x = 259,985,954.95
  5. Step 5: Solve for x
    x = 259,985,954.95/25,314.75
  6. Step 6: Final answer
    x = 10,270.14

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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.