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Finding the Fourth Proportional to 6,268.07, 9,402.21 and 2,980.50

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Solution

The fourth proportional to 6,268.07, 9,402.21 and 2,980.50 is: 4,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.07 : 9,402.21 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    6,268.07/9,402.21 = 2,980.50/x
  3. Step 3: Cross multiply
    6,268.07x = 9,402.21 × 2,980.50
  4. Step 4: Simplify right side
    6,268.07x = 28,023,286.91
  5. Step 5: Solve for x
    x = 28,023,286.91/6,268.07
  6. Step 6: Final answer
    x = 4,470.80

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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.