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Finding the Fourth Proportional to 6,551.68, 9,827.61 and 3,648.43

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Solution

The fourth proportional to 6,551.68, 9,827.61 and 3,648.43 is: 5,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.68 : 9,827.61 = 3,648.43 : x
  2. Step 2: Convert to fraction form
    6,551.68/9,827.61 = 3,648.43/x
  3. Step 3: Cross multiply
    6,551.68x = 9,827.61 × 3,648.43
  4. Step 4: Simplify right side
    6,551.68x = 35,855,347.15
  5. Step 5: Solve for x
    x = 35,855,347.15/6,551.68
  6. Step 6: Final answer
    x = 5,472.70

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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.