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Finding the Fourth Proportional to 6,224.84, 9,333.96 and 1,841.66

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Solution

The fourth proportional to 6,224.84, 9,333.96 and 1,841.66 is: 2,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.84 : 9,333.96 = 1,841.66 : x
  2. Step 2: Convert to fraction form
    6,224.84/9,333.96 = 1,841.66/x
  3. Step 3: Cross multiply
    6,224.84x = 9,333.96 × 1,841.66
  4. Step 4: Simplify right side
    6,224.84x = 17,189,980.77
  5. Step 5: Solve for x
    x = 17,189,980.77/6,224.84
  6. Step 6: Final answer
    x = 2,761.51

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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.