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Finding the Fourth Proportional to 25,274.94, 37,912.50 and 7,744.74

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Solution

The fourth proportional to 25,274.94, 37,912.50 and 7,744.74 is: 11,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.94 : 37,912.50 = 7,744.74 : x
  2. Step 2: Convert to fraction form
    25,274.94/37,912.50 = 7,744.74/x
  3. Step 3: Cross multiply
    25,274.94x = 37,912.50 × 7,744.74
  4. Step 4: Simplify right side
    25,274.94x = 293,622,455.25
  5. Step 5: Solve for x
    x = 293,622,455.25/25,274.94
  6. Step 6: Final answer
    x = 11,617.14

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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.