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Finding the Fourth Proportional to 7,658.42, 11,494.84 and 3,765.62

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Solution

The fourth proportional to 7,658.42, 11,494.84 and 3,765.62 is: 5,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.42 : 11,494.84 = 3,765.62 : x
  2. Step 2: Convert to fraction form
    7,658.42/11,494.84 = 3,765.62/x
  3. Step 3: Cross multiply
    7,658.42x = 11,494.84 × 3,765.62
  4. Step 4: Simplify right side
    7,658.42x = 43,285,199.40
  5. Step 5: Solve for x
    x = 43,285,199.40/7,658.42
  6. Step 6: Final answer
    x = 5,651.98

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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.