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Finding the Fourth Proportional to 9,757.89, 14,637.78 and 2,738.16

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Solution

The fourth proportional to 9,757.89, 14,637.78 and 2,738.16 is: 4,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.89 : 14,637.78 = 2,738.16 : x
  2. Step 2: Convert to fraction form
    9,757.89/14,637.78 = 2,738.16/x
  3. Step 3: Cross multiply
    9,757.89x = 14,637.78 × 2,738.16
  4. Step 4: Simplify right side
    9,757.89x = 40,080,583.68
  5. Step 5: Solve for x
    x = 40,080,583.68/9,757.89
  6. Step 6: Final answer
    x = 4,107.51

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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.