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Finding the Fourth Proportional to 11,646.43, 17,469.27 and 6,934.90

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Solution

The fourth proportional to 11,646.43, 17,469.27 and 6,934.90 is: 10,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.43 : 17,469.27 = 6,934.90 : x
  2. Step 2: Convert to fraction form
    11,646.43/17,469.27 = 6,934.90/x
  3. Step 3: Cross multiply
    11,646.43x = 17,469.27 × 6,934.90
  4. Step 4: Simplify right side
    11,646.43x = 121,147,703.30
  5. Step 5: Solve for x
    x = 121,147,703.30/11,646.43
  6. Step 6: Final answer
    x = 10,402.13

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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.