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Finding the Fourth Proportional to 6,584.85, 9,094.64 and 4,800.29

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Solution

The fourth proportional to 6,584.85, 9,094.64 and 4,800.29 is: 6,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.85 : 9,094.64 = 4,800.29 : x
  2. Step 2: Convert to fraction form
    6,584.85/9,094.64 = 4,800.29/x
  3. Step 3: Cross multiply
    6,584.85x = 9,094.64 × 4,800.29
  4. Step 4: Simplify right side
    6,584.85x = 43,656,839.97
  5. Step 5: Solve for x
    x = 43,656,839.97/6,584.85
  6. Step 6: Final answer
    x = 6,629.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.