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Finding the Fourth Proportional to 6,365.92, 9,537.58 and 2,659.98

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Solution

The fourth proportional to 6,365.92, 9,537.58 and 2,659.98 is: 3,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.92 : 9,537.58 = 2,659.98 : x
  2. Step 2: Convert to fraction form
    6,365.92/9,537.58 = 2,659.98/x
  3. Step 3: Cross multiply
    6,365.92x = 9,537.58 × 2,659.98
  4. Step 4: Simplify right side
    6,365.92x = 25,369,772.05
  5. Step 5: Solve for x
    x = 25,369,772.05/6,365.92
  6. Step 6: Final answer
    x = 3,985.25

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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.