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Finding the Fourth Proportional to 6,506.21, 8,979 and 3,672.57

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Solution

The fourth proportional to 6,506.21, 8,979 and 3,672.57 is: 5,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.21 : 8,979 = 3,672.57 : x
  2. Step 2: Convert to fraction form
    6,506.21/8,979 = 3,672.57/x
  3. Step 3: Cross multiply
    6,506.21x = 8,979 × 3,672.57
  4. Step 4: Simplify right side
    6,506.21x = 32,976,006.03
  5. Step 5: Solve for x
    x = 32,976,006.03/6,506.21
  6. Step 6: Final answer
    x = 5,068.39

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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.