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Finding the Fourth Proportional to 6,584.22, 9,877.14 and 2,204.82

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Solution

The fourth proportional to 6,584.22, 9,877.14 and 2,204.82 is: 3,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.22 : 9,877.14 = 2,204.82 : x
  2. Step 2: Convert to fraction form
    6,584.22/9,877.14 = 2,204.82/x
  3. Step 3: Cross multiply
    6,584.22x = 9,877.14 × 2,204.82
  4. Step 4: Simplify right side
    6,584.22x = 21,777,315.81
  5. Step 5: Solve for x
    x = 21,777,315.81/6,584.22
  6. Step 6: Final answer
    x = 3,307.50

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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.