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Finding the Fourth Proportional to 27,502.74, 41,253.68 and 6,726.42

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Solution

The fourth proportional to 27,502.74, 41,253.68 and 6,726.42 is: 10,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.74 : 41,253.68 = 6,726.42 : x
  2. Step 2: Convert to fraction form
    27,502.74/41,253.68 = 6,726.42/x
  3. Step 3: Cross multiply
    27,502.74x = 41,253.68 × 6,726.42
  4. Step 4: Simplify right side
    27,502.74x = 277,489,578.23
  5. Step 5: Solve for x
    x = 277,489,578.23/27,502.74
  6. Step 6: Final answer
    x = 10,089.52

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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.