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Finding the Fourth Proportional to 7,234.98, 9,982.65 and 4,403.82

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Solution

The fourth proportional to 7,234.98, 9,982.65 and 4,403.82 is: 6,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.98 : 9,982.65 = 4,403.82 : x
  2. Step 2: Convert to fraction form
    7,234.98/9,982.65 = 4,403.82/x
  3. Step 3: Cross multiply
    7,234.98x = 9,982.65 × 4,403.82
  4. Step 4: Simplify right side
    7,234.98x = 43,961,793.72
  5. Step 5: Solve for x
    x = 43,961,793.72/7,234.98
  6. Step 6: Final answer
    x = 6,076.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.