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Finding the Fourth Proportional to 9,757.70, 14,636.78 and 3,517.71

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Solution

The fourth proportional to 9,757.70, 14,636.78 and 3,517.71 is: 5,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.70 : 14,636.78 = 3,517.71 : x
  2. Step 2: Convert to fraction form
    9,757.70/14,636.78 = 3,517.71/x
  3. Step 3: Cross multiply
    9,757.70x = 14,636.78 × 3,517.71
  4. Step 4: Simplify right side
    9,757.70x = 51,487,929.79
  5. Step 5: Solve for x
    x = 51,487,929.79/9,757.70
  6. Step 6: Final answer
    x = 5,276.65

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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.