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Finding the Fourth Proportional to 6,460.82, 9,691.98 and 2,763.50

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Solution

The fourth proportional to 6,460.82, 9,691.98 and 2,763.50 is: 4,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.82 : 9,691.98 = 2,763.50 : x
  2. Step 2: Convert to fraction form
    6,460.82/9,691.98 = 2,763.50/x
  3. Step 3: Cross multiply
    6,460.82x = 9,691.98 × 2,763.50
  4. Step 4: Simplify right side
    6,460.82x = 26,783,786.73
  5. Step 5: Solve for x
    x = 26,783,786.73/6,460.82
  6. Step 6: Final answer
    x = 4,145.57

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1.5x scale

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.