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Finding the Fourth Proportional to 6,555.50, 9,835.59 and 3,047.18

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Solution

The fourth proportional to 6,555.50, 9,835.59 and 3,047.18 is: 4,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.50 : 9,835.59 = 3,047.18 : x
  2. Step 2: Convert to fraction form
    6,555.50/9,835.59 = 3,047.18/x
  3. Step 3: Cross multiply
    6,555.50x = 9,835.59 × 3,047.18
  4. Step 4: Simplify right side
    6,555.50x = 29,970,813.14
  5. Step 5: Solve for x
    x = 29,970,813.14/6,555.50
  6. Step 6: Final answer
    x = 4,571.86

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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.