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Finding the Fourth Proportional to 11,702.80, 16,147.99 and 6,667.11

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Solution

The fourth proportional to 11,702.80, 16,147.99 and 6,667.11 is: 9,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.80 : 16,147.99 = 6,667.11 : x
  2. Step 2: Convert to fraction form
    11,702.80/16,147.99 = 6,667.11/x
  3. Step 3: Cross multiply
    11,702.80x = 16,147.99 × 6,667.11
  4. Step 4: Simplify right side
    11,702.80x = 107,660,425.61
  5. Step 5: Solve for x
    x = 107,660,425.61/11,702.80
  6. Step 6: Final answer
    x = 9,199.54

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1.5x scale

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.