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Finding the Fourth Proportional to 27,646.22, 41,469.62 and 6,869.72

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Solution

The fourth proportional to 27,646.22, 41,469.62 and 6,869.72 is: 10,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.22 : 41,469.62 = 6,869.72 : x
  2. Step 2: Convert to fraction form
    27,646.22/41,469.62 = 6,869.72/x
  3. Step 3: Cross multiply
    27,646.22x = 41,469.62 × 6,869.72
  4. Step 4: Simplify right side
    27,646.22x = 284,884,747.23
  5. Step 5: Solve for x
    x = 284,884,747.23/27,646.22
  6. Step 6: Final answer
    x = 10,304.65

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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.