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Finding the Fourth Proportional to 6,558.87, 9,823.53 and 3,778.95

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Solution

The fourth proportional to 6,558.87, 9,823.53 and 3,778.95 is: 5,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.87 : 9,823.53 = 3,778.95 : x
  2. Step 2: Convert to fraction form
    6,558.87/9,823.53 = 3,778.95/x
  3. Step 3: Cross multiply
    6,558.87x = 9,823.53 × 3,778.95
  4. Step 4: Simplify right side
    6,558.87x = 37,122,628.69
  5. Step 5: Solve for x
    x = 37,122,628.69/6,558.87
  6. Step 6: Final answer
    x = 5,659.91

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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.