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Finding the Fourth Proportional to 11,947.80, 16,488.55 and 6,642.50

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Solution

The fourth proportional to 11,947.80, 16,488.55 and 6,642.50 is: 9,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.80 : 16,488.55 = 6,642.50 : x
  2. Step 2: Convert to fraction form
    11,947.80/16,488.55 = 6,642.50/x
  3. Step 3: Cross multiply
    11,947.80x = 16,488.55 × 6,642.50
  4. Step 4: Simplify right side
    11,947.80x = 109,525,193.38
  5. Step 5: Solve for x
    x = 109,525,193.38/11,947.80
  6. Step 6: Final answer
    x = 9,166.98

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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.