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Finding the Fourth Proportional to 11,999.82, 16,567.11 and 7,752.18

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Solution

The fourth proportional to 11,999.82, 16,567.11 and 7,752.18 is: 10,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.82 : 16,567.11 = 7,752.18 : x
  2. Step 2: Convert to fraction form
    11,999.82/16,567.11 = 7,752.18/x
  3. Step 3: Cross multiply
    11,999.82x = 16,567.11 × 7,752.18
  4. Step 4: Simplify right side
    11,999.82x = 128,431,218.80
  5. Step 5: Solve for x
    x = 128,431,218.80/11,999.82
  6. Step 6: Final answer
    x = 10,702.76

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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.