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Finding the Fourth Proportional to 4,650.30, 6,966.54 and 4,493.97

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Solution

The fourth proportional to 4,650.30, 6,966.54 and 4,493.97 is: 6,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.30 : 6,966.54 = 4,493.97 : x
  2. Step 2: Convert to fraction form
    4,650.30/6,966.54 = 4,493.97/x
  3. Step 3: Cross multiply
    4,650.30x = 6,966.54 × 4,493.97
  4. Step 4: Simplify right side
    4,650.30x = 31,307,421.76
  5. Step 5: Solve for x
    x = 31,307,421.76/4,650.30
  6. Step 6: Final answer
    x = 6,732.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.