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Finding the Fourth Proportional to 6,565.92, 9,845.24 and 2,180.98

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Solution

The fourth proportional to 6,565.92, 9,845.24 and 2,180.98 is: 3,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.92 : 9,845.24 = 2,180.98 : x
  2. Step 2: Convert to fraction form
    6,565.92/9,845.24 = 2,180.98/x
  3. Step 3: Cross multiply
    6,565.92x = 9,845.24 × 2,180.98
  4. Step 4: Simplify right side
    6,565.92x = 21,472,271.54
  5. Step 5: Solve for x
    x = 21,472,271.54/6,565.92
  6. Step 6: Final answer
    x = 3,270.26

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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.