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Finding the Fourth Proportional to 7,684.56, 11,530.44 and 3,786.84

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Solution

The fourth proportional to 7,684.56, 11,530.44 and 3,786.84 is: 5,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.56 : 11,530.44 = 3,786.84 : x
  2. Step 2: Convert to fraction form
    7,684.56/11,530.44 = 3,786.84/x
  3. Step 3: Cross multiply
    7,684.56x = 11,530.44 × 3,786.84
  4. Step 4: Simplify right side
    7,684.56x = 43,663,931.41
  5. Step 5: Solve for x
    x = 43,663,931.41/7,684.56
  6. Step 6: Final answer
    x = 5,682.03

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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.