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Finding the Fourth Proportional to 4,967.84, 7,449.74 and 2,156.88

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Solution

The fourth proportional to 4,967.84, 7,449.74 and 2,156.88 is: 3,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.84 : 7,449.74 = 2,156.88 : x
  2. Step 2: Convert to fraction form
    4,967.84/7,449.74 = 2,156.88/x
  3. Step 3: Cross multiply
    4,967.84x = 7,449.74 × 2,156.88
  4. Step 4: Simplify right side
    4,967.84x = 16,068,195.21
  5. Step 5: Solve for x
    x = 16,068,195.21/4,967.84
  6. Step 6: Final answer
    x = 3,234.44

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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.