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Finding the Fourth Proportional to 27,801.72, 41,693.86 and 9,077.49

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Solution

The fourth proportional to 27,801.72, 41,693.86 and 9,077.49 is: 13,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.72 : 41,693.86 = 9,077.49 : x
  2. Step 2: Convert to fraction form
    27,801.72/41,693.86 = 9,077.49/x
  3. Step 3: Cross multiply
    27,801.72x = 41,693.86 × 9,077.49
  4. Step 4: Simplify right side
    27,801.72x = 378,475,597.21
  5. Step 5: Solve for x
    x = 378,475,597.21/27,801.72
  6. Step 6: Final answer
    x = 13,613.39

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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.