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Finding the Fourth Proportional to 25,697.50, 38,546.25 and 7,229.50

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Solution

The fourth proportional to 25,697.50, 38,546.25 and 7,229.50 is: 10,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.50 : 38,546.25 = 7,229.50 : x
  2. Step 2: Convert to fraction form
    25,697.50/38,546.25 = 7,229.50/x
  3. Step 3: Cross multiply
    25,697.50x = 38,546.25 × 7,229.50
  4. Step 4: Simplify right side
    25,697.50x = 278,670,114.38
  5. Step 5: Solve for x
    x = 278,670,114.38/25,697.50
  6. Step 6: Final answer
    x = 10,844.25

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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.