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Finding the Fourth Proportional to 27,809.79, 41,714.33 and 6,750

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Solution

The fourth proportional to 27,809.79, 41,714.33 and 6,750 is: 10,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.79 : 41,714.33 = 6,750 : x
  2. Step 2: Convert to fraction form
    27,809.79/41,714.33 = 6,750/x
  3. Step 3: Cross multiply
    27,809.79x = 41,714.33 × 6,750
  4. Step 4: Simplify right side
    27,809.79x = 281,571,727.50
  5. Step 5: Solve for x
    x = 281,571,727.50/27,809.79
  6. Step 6: Final answer
    x = 10,124.91

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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.