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Finding the Fourth Proportional to 11,646.75, 17,472.86 and 3,855.57

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Solution

The fourth proportional to 11,646.75, 17,472.86 and 3,855.57 is: 5,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.75 : 17,472.86 = 3,855.57 : x
  2. Step 2: Convert to fraction form
    11,646.75/17,472.86 = 3,855.57/x
  3. Step 3: Cross multiply
    11,646.75x = 17,472.86 × 3,855.57
  4. Step 4: Simplify right side
    11,646.75x = 67,367,815.55
  5. Step 5: Solve for x
    x = 67,367,815.55/11,646.75
  6. Step 6: Final answer
    x = 5,784.26

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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.