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Finding the Fourth Proportional to 6,645.84, 9,962.28 and 3,185.52

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Solution

The fourth proportional to 6,645.84, 9,962.28 and 3,185.52 is: 4,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.84 : 9,962.28 = 3,185.52 : x
  2. Step 2: Convert to fraction form
    6,645.84/9,962.28 = 3,185.52/x
  3. Step 3: Cross multiply
    6,645.84x = 9,962.28 × 3,185.52
  4. Step 4: Simplify right side
    6,645.84x = 31,735,042.19
  5. Step 5: Solve for x
    x = 31,735,042.19/6,645.84
  6. Step 6: Final answer
    x = 4,775.17

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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.