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Finding the Fourth Proportional to 11,978.46, 16,530.66 and 6,673.14

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Solution

The fourth proportional to 11,978.46, 16,530.66 and 6,673.14 is: 9,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.46 : 16,530.66 = 6,673.14 : x
  2. Step 2: Convert to fraction form
    11,978.46/16,530.66 = 6,673.14/x
  3. Step 3: Cross multiply
    11,978.46x = 16,530.66 × 6,673.14
  4. Step 4: Simplify right side
    11,978.46x = 110,311,408.47
  5. Step 5: Solve for x
    x = 110,311,408.47/11,978.46
  6. Step 6: Final answer
    x = 9,209.15

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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.