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Finding the Fourth Proportional to 8,884, 12,252.51 and 6,651.16

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Solution

The fourth proportional to 8,884, 12,252.51 and 6,651.16 is: 9,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884 : 12,252.51 = 6,651.16 : x
  2. Step 2: Convert to fraction form
    8,884/12,252.51 = 6,651.16/x
  3. Step 3: Cross multiply
    8,884x = 12,252.51 × 6,651.16
  4. Step 4: Simplify right side
    8,884x = 81,493,404.41
  5. Step 5: Solve for x
    x = 81,493,404.41/8,884
  6. Step 6: Final answer
    x = 9,173.05

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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.