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Finding the Fourth Proportional to 6,268.20, 9,409.14 and 4,619.64

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Solution

The fourth proportional to 6,268.20, 9,409.14 and 4,619.64 is: 6,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.20 : 9,409.14 = 4,619.64 : x
  2. Step 2: Convert to fraction form
    6,268.20/9,409.14 = 4,619.64/x
  3. Step 3: Cross multiply
    6,268.20x = 9,409.14 × 4,619.64
  4. Step 4: Simplify right side
    6,268.20x = 43,466,839.51
  5. Step 5: Solve for x
    x = 43,466,839.51/6,268.20
  6. Step 6: Final answer
    x = 6,934.50

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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.