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Finding the Fourth Proportional to 6,508.69, 9,761.94 and 1,829.00

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Solution

The fourth proportional to 6,508.69, 9,761.94 and 1,829.00 is: 2,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.69 : 9,761.94 = 1,829.00 : x
  2. Step 2: Convert to fraction form
    6,508.69/9,761.94 = 1,829.00/x
  3. Step 3: Cross multiply
    6,508.69x = 9,761.94 × 1,829.00
  4. Step 4: Simplify right side
    6,508.69x = 17,854,612.66
  5. Step 5: Solve for x
    x = 17,854,612.66/6,508.69
  6. Step 6: Final answer
    x = 2,743.20

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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.