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Finding the Fourth Proportional to 7,181.84, 9,910.14 and 4,037.96

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Solution

The fourth proportional to 7,181.84, 9,910.14 and 4,037.96 is: 5,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.84 : 9,910.14 = 4,037.96 : x
  2. Step 2: Convert to fraction form
    7,181.84/9,910.14 = 4,037.96/x
  3. Step 3: Cross multiply
    7,181.84x = 9,910.14 × 4,037.96
  4. Step 4: Simplify right side
    7,181.84x = 40,016,748.91
  5. Step 5: Solve for x
    x = 40,016,748.91/7,181.84
  6. Step 6: Final answer
    x = 5,571.94

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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.