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Finding the Fourth Proportional to 6,234.37, 9,329.62 and 3,895.48

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Solution

The fourth proportional to 6,234.37, 9,329.62 and 3,895.48 is: 5,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.37 : 9,329.62 = 3,895.48 : x
  2. Step 2: Convert to fraction form
    6,234.37/9,329.62 = 3,895.48/x
  3. Step 3: Cross multiply
    6,234.37x = 9,329.62 × 3,895.48
  4. Step 4: Simplify right side
    6,234.37x = 36,343,348.12
  5. Step 5: Solve for x
    x = 36,343,348.12/6,234.37
  6. Step 6: Final answer
    x = 5,829.51

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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.