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Finding the Fourth Proportional to 12,080.47, 16,671.18 and 6,703

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Solution

The fourth proportional to 12,080.47, 16,671.18 and 6,703 is: 9,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.47 : 16,671.18 = 6,703 : x
  2. Step 2: Convert to fraction form
    12,080.47/16,671.18 = 6,703/x
  3. Step 3: Cross multiply
    12,080.47x = 16,671.18 × 6,703
  4. Step 4: Simplify right side
    12,080.47x = 111,746,919.54
  5. Step 5: Solve for x
    x = 111,746,919.54/12,080.47
  6. Step 6: Final answer
    x = 9,250.21

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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.