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Finding the Fourth Proportional to 6,042.91, 9,063.96 and 1,660

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Solution

The fourth proportional to 6,042.91, 9,063.96 and 1,660 is: 2,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.91 : 9,063.96 = 1,660 : x
  2. Step 2: Convert to fraction form
    6,042.91/9,063.96 = 1,660/x
  3. Step 3: Cross multiply
    6,042.91x = 9,063.96 × 1,660
  4. Step 4: Simplify right side
    6,042.91x = 15,046,173.60
  5. Step 5: Solve for x
    x = 15,046,173.60/6,042.91
  6. Step 6: Final answer
    x = 2,489.89

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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.