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Finding the Fourth Proportional to 6,099, 9,148.50 and 2,451

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Solution

The fourth proportional to 6,099, 9,148.50 and 2,451 is: 3,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099 : 9,148.50 = 2,451 : x
  2. Step 2: Convert to fraction form
    6,099/9,148.50 = 2,451/x
  3. Step 3: Cross multiply
    6,099x = 9,148.50 × 2,451
  4. Step 4: Simplify right side
    6,099x = 22,422,973.50
  5. Step 5: Solve for x
    x = 22,422,973.50/6,099
  6. Step 6: Final answer
    x = 3,676.50

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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.