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Finding the Fourth Proportional to 6,562.46, 9,843.54 and 1,632.02

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Solution

The fourth proportional to 6,562.46, 9,843.54 and 1,632.02 is: 2,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.46 : 9,843.54 = 1,632.02 : x
  2. Step 2: Convert to fraction form
    6,562.46/9,843.54 = 1,632.02/x
  3. Step 3: Cross multiply
    6,562.46x = 9,843.54 × 1,632.02
  4. Step 4: Simplify right side
    6,562.46x = 16,064,854.15
  5. Step 5: Solve for x
    x = 16,064,854.15/6,562.46
  6. Step 6: Final answer
    x = 2,447.99

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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.