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Finding the Fourth Proportional to 6,051.84, 9,067.92 and 3,126

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Solution

The fourth proportional to 6,051.84, 9,067.92 and 3,126 is: 4,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.84 : 9,067.92 = 3,126 : x
  2. Step 2: Convert to fraction form
    6,051.84/9,067.92 = 3,126/x
  3. Step 3: Cross multiply
    6,051.84x = 9,067.92 × 3,126
  4. Step 4: Simplify right side
    6,051.84x = 28,346,317.92
  5. Step 5: Solve for x
    x = 28,346,317.92/6,051.84
  6. Step 6: Final answer
    x = 4,683.92

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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.