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Finding the Fourth Proportional to 6,606.57, 9,890.42 and 4,409.85

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Solution

The fourth proportional to 6,606.57, 9,890.42 and 4,409.85 is: 6,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.57 : 9,890.42 = 4,409.85 : x
  2. Step 2: Convert to fraction form
    6,606.57/9,890.42 = 4,409.85/x
  3. Step 3: Cross multiply
    6,606.57x = 9,890.42 × 4,409.85
  4. Step 4: Simplify right side
    6,606.57x = 43,615,246.59
  5. Step 5: Solve for x
    x = 43,615,246.59/6,606.57
  6. Step 6: Final answer
    x = 6,601.80

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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.