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Finding the Fourth Proportional to 9,757.71, 14,634.90 and 3,516.48

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Solution

The fourth proportional to 9,757.71, 14,634.90 and 3,516.48 is: 5,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.71 : 14,634.90 = 3,516.48 : x
  2. Step 2: Convert to fraction form
    9,757.71/14,634.90 = 3,516.48/x
  3. Step 3: Cross multiply
    9,757.71x = 14,634.90 × 3,516.48
  4. Step 4: Simplify right side
    9,757.71x = 51,463,333.15
  5. Step 5: Solve for x
    x = 51,463,333.15/9,757.71
  6. Step 6: Final answer
    x = 5,274.12

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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.