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Finding the Fourth Proportional to 6,645.12, 9,965.40 and 2,261.52

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Solution

The fourth proportional to 6,645.12, 9,965.40 and 2,261.52 is: 3,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.12 : 9,965.40 = 2,261.52 : x
  2. Step 2: Convert to fraction form
    6,645.12/9,965.40 = 2,261.52/x
  3. Step 3: Cross multiply
    6,645.12x = 9,965.40 × 2,261.52
  4. Step 4: Simplify right side
    6,645.12x = 22,536,951.41
  5. Step 5: Solve for x
    x = 22,536,951.41/6,645.12
  6. Step 6: Final answer
    x = 3,391.50

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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.