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Finding the Fourth Proportional to 6,828.57, 9,425.57 and 4,590.54

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Solution

The fourth proportional to 6,828.57, 9,425.57 and 4,590.54 is: 6,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.57 : 9,425.57 = 4,590.54 : x
  2. Step 2: Convert to fraction form
    6,828.57/9,425.57 = 4,590.54/x
  3. Step 3: Cross multiply
    6,828.57x = 9,425.57 × 4,590.54
  4. Step 4: Simplify right side
    6,828.57x = 43,268,433.16
  5. Step 5: Solve for x
    x = 43,268,433.16/6,828.57
  6. Step 6: Final answer
    x = 6,336.38

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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.