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Finding the Fourth Proportional to 6,558.80, 9,838.20 and 1,628.52

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Solution

The fourth proportional to 6,558.80, 9,838.20 and 1,628.52 is: 2,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.80 : 9,838.20 = 1,628.52 : x
  2. Step 2: Convert to fraction form
    6,558.80/9,838.20 = 1,628.52/x
  3. Step 3: Cross multiply
    6,558.80x = 9,838.20 × 1,628.52
  4. Step 4: Simplify right side
    6,558.80x = 16,021,705.46
  5. Step 5: Solve for x
    x = 16,021,705.46/6,558.80
  6. Step 6: Final answer
    x = 2,442.78

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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.