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Finding the Fourth Proportional to 6,839.22, 10,255.08 and 4,618.02

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Solution

The fourth proportional to 6,839.22, 10,255.08 and 4,618.02 is: 6,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.22 : 10,255.08 = 4,618.02 : x
  2. Step 2: Convert to fraction form
    6,839.22/10,255.08 = 4,618.02/x
  3. Step 3: Cross multiply
    6,839.22x = 10,255.08 × 4,618.02
  4. Step 4: Simplify right side
    6,839.22x = 47,358,164.54
  5. Step 5: Solve for x
    x = 47,358,164.54/6,839.22
  6. Step 6: Final answer
    x = 6,924.50

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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.