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Finding the Fourth Proportional to 6,404, 9,597.63 and 3,281.36

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Solution

The fourth proportional to 6,404, 9,597.63 and 3,281.36 is: 4,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 9,597.63 = 3,281.36 : x
  2. Step 2: Convert to fraction form
    6,404/9,597.63 = 3,281.36/x
  3. Step 3: Cross multiply
    6,404x = 9,597.63 × 3,281.36
  4. Step 4: Simplify right side
    6,404x = 31,493,279.18
  5. Step 5: Solve for x
    x = 31,493,279.18/6,404
  6. Step 6: Final answer
    x = 4,917.75

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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.