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Finding the Fourth Proportional to 27,761.13, 41,641.32 and 6,701

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Solution

The fourth proportional to 27,761.13, 41,641.32 and 6,701 is: 10,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.13 : 41,641.32 = 6,701 : x
  2. Step 2: Convert to fraction form
    27,761.13/41,641.32 = 6,701/x
  3. Step 3: Cross multiply
    27,761.13x = 41,641.32 × 6,701
  4. Step 4: Simplify right side
    27,761.13x = 279,038,485.32
  5. Step 5: Solve for x
    x = 279,038,485.32/27,761.13
  6. Step 6: Final answer
    x = 10,051.41

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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.