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Finding the Fourth Proportional to 11,542.96, 17,311.96 and 3,646.09

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Solution

The fourth proportional to 11,542.96, 17,311.96 and 3,646.09 is: 5,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.96 : 17,311.96 = 3,646.09 : x
  2. Step 2: Convert to fraction form
    11,542.96/17,311.96 = 3,646.09/x
  3. Step 3: Cross multiply
    11,542.96x = 17,311.96 × 3,646.09
  4. Step 4: Simplify right side
    11,542.96x = 63,120,946.01
  5. Step 5: Solve for x
    x = 63,120,946.01/11,542.96
  6. Step 6: Final answer
    x = 5,468.35

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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.