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Finding the Fourth Proportional to 27,700.56, 41,550.60 and 6,924

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Solution

The fourth proportional to 27,700.56, 41,550.60 and 6,924 is: 10,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.56 : 41,550.60 = 6,924 : x
  2. Step 2: Convert to fraction form
    27,700.56/41,550.60 = 6,924/x
  3. Step 3: Cross multiply
    27,700.56x = 41,550.60 × 6,924
  4. Step 4: Simplify right side
    27,700.56x = 287,696,354.40
  5. Step 5: Solve for x
    x = 287,696,354.40/27,700.56
  6. Step 6: Final answer
    x = 10,385.94

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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.