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Finding the Fourth Proportional to 6,649.70, 9,176.19 and 3,665.66

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Solution

The fourth proportional to 6,649.70, 9,176.19 and 3,665.66 is: 5,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.70 : 9,176.19 = 3,665.66 : x
  2. Step 2: Convert to fraction form
    6,649.70/9,176.19 = 3,665.66/x
  3. Step 3: Cross multiply
    6,649.70x = 9,176.19 × 3,665.66
  4. Step 4: Simplify right side
    6,649.70x = 33,636,792.64
  5. Step 5: Solve for x
    x = 33,636,792.64/6,649.70
  6. Step 6: Final answer
    x = 5,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.