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Finding the Fourth Proportional to 27,524.70, 41,293.94 and 7,802.82

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Solution

The fourth proportional to 27,524.70, 41,293.94 and 7,802.82 is: 11,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.70 : 41,293.94 = 7,802.82 : x
  2. Step 2: Convert to fraction form
    27,524.70/41,293.94 = 7,802.82/x
  3. Step 3: Cross multiply
    27,524.70x = 41,293.94 × 7,802.82
  4. Step 4: Simplify right side
    27,524.70x = 322,209,141.90
  5. Step 5: Solve for x
    x = 322,209,141.90/27,524.70
  6. Step 6: Final answer
    x = 11,706.18

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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.