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Finding the Fourth Proportional to 6,535.80, 9,789.30 and 5,671.80

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Solution

The fourth proportional to 6,535.80, 9,789.30 and 5,671.80 is: 8,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.80 : 9,789.30 = 5,671.80 : x
  2. Step 2: Convert to fraction form
    6,535.80/9,789.30 = 5,671.80/x
  3. Step 3: Cross multiply
    6,535.80x = 9,789.30 × 5,671.80
  4. Step 4: Simplify right side
    6,535.80x = 55,522,951.74
  5. Step 5: Solve for x
    x = 55,522,951.74/6,535.80
  6. Step 6: Final answer
    x = 8,495.20

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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.