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Finding the Fourth Proportional to 25,226.44, 37,845.24 and 7,697.64

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Solution

The fourth proportional to 25,226.44, 37,845.24 and 7,697.64 is: 11,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.44 : 37,845.24 = 7,697.64 : x
  2. Step 2: Convert to fraction form
    25,226.44/37,845.24 = 7,697.64/x
  3. Step 3: Cross multiply
    25,226.44x = 37,845.24 × 7,697.64
  4. Step 4: Simplify right side
    25,226.44x = 291,319,033.23
  5. Step 5: Solve for x
    x = 291,319,033.23/25,226.44
  6. Step 6: Final answer
    x = 11,548.16

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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.