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Finding the Fourth Proportional to 6,425.36, 9,636.71 and 2,475.26

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Solution

The fourth proportional to 6,425.36, 9,636.71 and 2,475.26 is: 3,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.36 : 9,636.71 = 2,475.26 : x
  2. Step 2: Convert to fraction form
    6,425.36/9,636.71 = 2,475.26/x
  3. Step 3: Cross multiply
    6,425.36x = 9,636.71 × 2,475.26
  4. Step 4: Simplify right side
    6,425.36x = 23,853,406.50
  5. Step 5: Solve for x
    x = 23,853,406.50/6,425.36
  6. Step 6: Final answer
    x = 3,712.38

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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.