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Finding the Fourth Proportional to 6,645.80, 9,966.54 and 3,524.06

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Solution

The fourth proportional to 6,645.80, 9,966.54 and 3,524.06 is: 5,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.80 : 9,966.54 = 3,524.06 : x
  2. Step 2: Convert to fraction form
    6,645.80/9,966.54 = 3,524.06/x
  3. Step 3: Cross multiply
    6,645.80x = 9,966.54 × 3,524.06
  4. Step 4: Simplify right side
    6,645.80x = 35,122,684.95
  5. Step 5: Solve for x
    x = 35,122,684.95/6,645.80
  6. Step 6: Final answer
    x = 5,284.94

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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.