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Finding the Fourth Proportional to 11,468.22, 15,827.19 and 6,992.22

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Solution

The fourth proportional to 11,468.22, 15,827.19 and 6,992.22 is: 9,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.22 : 15,827.19 = 6,992.22 : x
  2. Step 2: Convert to fraction form
    11,468.22/15,827.19 = 6,992.22/x
  3. Step 3: Cross multiply
    11,468.22x = 15,827.19 × 6,992.22
  4. Step 4: Simplify right side
    11,468.22x = 110,667,194.46
  5. Step 5: Solve for x
    x = 110,667,194.46/11,468.22
  6. Step 6: Final answer
    x = 9,649.90

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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.