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Finding the Fourth Proportional to 6,551.61, 9,825.69 and 4,471.22

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Solution

The fourth proportional to 6,551.61, 9,825.69 and 4,471.22 is: 6,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.61 : 9,825.69 = 4,471.22 : x
  2. Step 2: Convert to fraction form
    6,551.61/9,825.69 = 4,471.22/x
  3. Step 3: Cross multiply
    6,551.61x = 9,825.69 × 4,471.22
  4. Step 4: Simplify right side
    6,551.61x = 43,932,821.64
  5. Step 5: Solve for x
    x = 43,932,821.64/6,551.61
  6. Step 6: Final answer
    x = 6,705.65

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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.