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Finding the Fourth Proportional to 11,947.84, 16,488.40 and 6,642.88

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Solution

The fourth proportional to 11,947.84, 16,488.40 and 6,642.88 is: 9,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.84 : 16,488.40 = 6,642.88 : x
  2. Step 2: Convert to fraction form
    11,947.84/16,488.40 = 6,642.88/x
  3. Step 3: Cross multiply
    11,947.84x = 16,488.40 × 6,642.88
  4. Step 4: Simplify right side
    11,947.84x = 109,530,462.59
  5. Step 5: Solve for x
    x = 109,530,462.59/11,947.84
  6. Step 6: Final answer
    x = 9,167.39

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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.