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Finding the Fourth Proportional to 8,441.60, 12,658.14 and 3,997.94

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Solution

The fourth proportional to 8,441.60, 12,658.14 and 3,997.94 is: 5,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.60 : 12,658.14 = 3,997.94 : x
  2. Step 2: Convert to fraction form
    8,441.60/12,658.14 = 3,997.94/x
  3. Step 3: Cross multiply
    8,441.60x = 12,658.14 × 3,997.94
  4. Step 4: Simplify right side
    8,441.60x = 50,606,484.23
  5. Step 5: Solve for x
    x = 50,606,484.23/8,441.60
  6. Step 6: Final answer
    x = 5,994.89

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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.