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Finding the Fourth Proportional to 6,267.76, 8,649.12 and 3,473.28

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Solution

The fourth proportional to 6,267.76, 8,649.12 and 3,473.28 is: 4,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.76 : 8,649.12 = 3,473.28 : x
  2. Step 2: Convert to fraction form
    6,267.76/8,649.12 = 3,473.28/x
  3. Step 3: Cross multiply
    6,267.76x = 8,649.12 × 3,473.28
  4. Step 4: Simplify right side
    6,267.76x = 30,040,815.51
  5. Step 5: Solve for x
    x = 30,040,815.51/6,267.76
  6. Step 6: Final answer
    x = 4,792.91

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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.