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Finding the Fourth Proportional to 6,241.15, 9,403.34 and 5,648.88

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Solution

The fourth proportional to 6,241.15, 9,403.34 and 5,648.88 is: 8,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.15 : 9,403.34 = 5,648.88 : x
  2. Step 2: Convert to fraction form
    6,241.15/9,403.34 = 5,648.88/x
  3. Step 3: Cross multiply
    6,241.15x = 9,403.34 × 5,648.88
  4. Step 4: Simplify right side
    6,241.15x = 53,118,311.94
  5. Step 5: Solve for x
    x = 53,118,311.94/6,241.15
  6. Step 6: Final answer
    x = 8,510.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.