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Finding the Fourth Proportional to 25,274.25, 37,906.97 and 7,504.47

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Solution

The fourth proportional to 25,274.25, 37,906.97 and 7,504.47 is: 11,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.25 : 37,906.97 = 7,504.47 : x
  2. Step 2: Convert to fraction form
    25,274.25/37,906.97 = 7,504.47/x
  3. Step 3: Cross multiply
    25,274.25x = 37,906.97 × 7,504.47
  4. Step 4: Simplify right side
    25,274.25x = 284,471,681.63
  5. Step 5: Solve for x
    x = 284,471,681.63/25,274.25
  6. Step 6: Final answer
    x = 11,255.40

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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.