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Finding the Fourth Proportional to 27,503.50, 41,256.06 and 6,727

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Solution

The fourth proportional to 27,503.50, 41,256.06 and 6,727 is: 10,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503.50 : 41,256.06 = 6,727 : x
  2. Step 2: Convert to fraction form
    27,503.50/41,256.06 = 6,727/x
  3. Step 3: Cross multiply
    27,503.50x = 41,256.06 × 6,727
  4. Step 4: Simplify right side
    27,503.50x = 277,529,515.62
  5. Step 5: Solve for x
    x = 277,529,515.62/27,503.50
  6. Step 6: Final answer
    x = 10,090.70

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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.