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Finding the Fourth Proportional to 6,350.98, 9,532.85 and 5,194.71

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Solution

The fourth proportional to 6,350.98, 9,532.85 and 5,194.71 is: 7,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.98 : 9,532.85 = 5,194.71 : x
  2. Step 2: Convert to fraction form
    6,350.98/9,532.85 = 5,194.71/x
  3. Step 3: Cross multiply
    6,350.98x = 9,532.85 × 5,194.71
  4. Step 4: Simplify right side
    6,350.98x = 49,520,391.22
  5. Step 5: Solve for x
    x = 49,520,391.22/6,350.98
  6. Step 6: Final answer
    x = 7,797.28

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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.