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Finding the Fourth Proportional to 6,418.71, 9,628.88 and 2,034.60

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Solution

The fourth proportional to 6,418.71, 9,628.88 and 2,034.60 is: 3,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.71 : 9,628.88 = 2,034.60 : x
  2. Step 2: Convert to fraction form
    6,418.71/9,628.88 = 2,034.60/x
  3. Step 3: Cross multiply
    6,418.71x = 9,628.88 × 2,034.60
  4. Step 4: Simplify right side
    6,418.71x = 19,590,909.08
  5. Step 5: Solve for x
    x = 19,590,909.08/6,418.71
  6. Step 6: Final answer
    x = 3,052.16

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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.