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Finding the Fourth Proportional to 6,642.41, 9,963.81 and 1,712.04

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Solution

The fourth proportional to 6,642.41, 9,963.81 and 1,712.04 is: 2,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.41 : 9,963.81 = 1,712.04 : x
  2. Step 2: Convert to fraction form
    6,642.41/9,963.81 = 1,712.04/x
  3. Step 3: Cross multiply
    6,642.41x = 9,963.81 × 1,712.04
  4. Step 4: Simplify right side
    6,642.41x = 17,058,403.91
  5. Step 5: Solve for x
    x = 17,058,403.91/6,642.41
  6. Step 6: Final answer
    x = 2,568.11

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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.