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Finding the Fourth Proportional to 7,218.76, 9,961.96 and 4,234.64

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Solution

The fourth proportional to 7,218.76, 9,961.96 and 4,234.64 is: 5,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.76 : 9,961.96 = 4,234.64 : x
  2. Step 2: Convert to fraction form
    7,218.76/9,961.96 = 4,234.64/x
  3. Step 3: Cross multiply
    7,218.76x = 9,961.96 × 4,234.64
  4. Step 4: Simplify right side
    7,218.76x = 42,185,356.95
  5. Step 5: Solve for x
    x = 42,185,356.95/7,218.76
  6. Step 6: Final answer
    x = 5,843.85

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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.