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Finding the Fourth Proportional to 6,632.84, 9,153.06 and 3,648.50

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Solution

The fourth proportional to 6,632.84, 9,153.06 and 3,648.50 is: 5,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.84 : 9,153.06 = 3,648.50 : x
  2. Step 2: Convert to fraction form
    6,632.84/9,153.06 = 3,648.50/x
  3. Step 3: Cross multiply
    6,632.84x = 9,153.06 × 3,648.50
  4. Step 4: Simplify right side
    6,632.84x = 33,394,939.41
  5. Step 5: Solve for x
    x = 33,394,939.41/6,632.84
  6. Step 6: Final answer
    x = 5,034.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.