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Finding the Fourth Proportional to 6,262.13, 8,642 and 3,467.63

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Solution

The fourth proportional to 6,262.13, 8,642 and 3,467.63 is: 4,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.13 : 8,642 = 3,467.63 : x
  2. Step 2: Convert to fraction form
    6,262.13/8,642 = 3,467.63/x
  3. Step 3: Cross multiply
    6,262.13x = 8,642 × 3,467.63
  4. Step 4: Simplify right side
    6,262.13x = 29,967,258.46
  5. Step 5: Solve for x
    x = 29,967,258.46/6,262.13
  6. Step 6: Final answer
    x = 4,785.47

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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.