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Finding the Fourth Proportional to 20,658, 30,992.12 and 6,066

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Solution

The fourth proportional to 20,658, 30,992.12 and 6,066 is: 9,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 30,992.12 = 6,066 : x
  2. Step 2: Convert to fraction form
    20,658/30,992.12 = 6,066/x
  3. Step 3: Cross multiply
    20,658x = 30,992.12 × 6,066
  4. Step 4: Simplify right side
    20,658x = 187,998,199.92
  5. Step 5: Solve for x
    x = 187,998,199.92/20,658
  6. Step 6: Final answer
    x = 9,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.