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Finding the Fourth Proportional to 11,765.82, 17,646.84 and 3,868.32

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Solution

The fourth proportional to 11,765.82, 17,646.84 and 3,868.32 is: 5,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.82 : 17,646.84 = 3,868.32 : x
  2. Step 2: Convert to fraction form
    11,765.82/17,646.84 = 3,868.32/x
  3. Step 3: Cross multiply
    11,765.82x = 17,646.84 × 3,868.32
  4. Step 4: Simplify right side
    11,765.82x = 68,263,624.11
  5. Step 5: Solve for x
    x = 68,263,624.11/11,765.82
  6. Step 6: Final answer
    x = 5,801.86

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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.