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Finding the Fourth Proportional to 6,451.97, 9,678.06 and 2,941.84

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Solution

The fourth proportional to 6,451.97, 9,678.06 and 2,941.84 is: 4,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.97 : 9,678.06 = 2,941.84 : x
  2. Step 2: Convert to fraction form
    6,451.97/9,678.06 = 2,941.84/x
  3. Step 3: Cross multiply
    6,451.97x = 9,678.06 × 2,941.84
  4. Step 4: Simplify right side
    6,451.97x = 28,471,268.80
  5. Step 5: Solve for x
    x = 28,471,268.80/6,451.97
  6. Step 6: Final answer
    x = 4,412.80

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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.