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Finding the Fourth Proportional to 11,772.55, 16,245.07 and 6,992.13

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Solution

The fourth proportional to 11,772.55, 16,245.07 and 6,992.13 is: 9,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.55 : 16,245.07 = 6,992.13 : x
  2. Step 2: Convert to fraction form
    11,772.55/16,245.07 = 6,992.13/x
  3. Step 3: Cross multiply
    11,772.55x = 16,245.07 × 6,992.13
  4. Step 4: Simplify right side
    11,772.55x = 113,587,641.30
  5. Step 5: Solve for x
    x = 113,587,641.30/11,772.55
  6. Step 6: Final answer
    x = 9,648.52

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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.