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Finding the Fourth Proportional to 25,156.32, 37,739.92 and 7,627.44

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Solution

The fourth proportional to 25,156.32, 37,739.92 and 7,627.44 is: 11,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156.32 : 37,739.92 = 7,627.44 : x
  2. Step 2: Convert to fraction form
    25,156.32/37,739.92 = 7,627.44/x
  3. Step 3: Cross multiply
    25,156.32x = 37,739.92 × 7,627.44
  4. Step 4: Simplify right side
    25,156.32x = 287,858,975.40
  5. Step 5: Solve for x
    x = 287,858,975.40/25,156.32
  6. Step 6: Final answer
    x = 11,442.81

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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.