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Finding the Fourth Proportional to 25,292.56, 37,938.84 and 6,824.56

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Solution

The fourth proportional to 25,292.56, 37,938.84 and 6,824.56 is: 10,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.56 : 37,938.84 = 6,824.56 : x
  2. Step 2: Convert to fraction form
    25,292.56/37,938.84 = 6,824.56/x
  3. Step 3: Cross multiply
    25,292.56x = 37,938.84 × 6,824.56
  4. Step 4: Simplify right side
    25,292.56x = 258,915,889.91
  5. Step 5: Solve for x
    x = 258,915,889.91/25,292.56
  6. Step 6: Final answer
    x = 10,236.84

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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.