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Finding the Fourth Proportional to 6,808.56, 10,216.56 and 2,648.70

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Solution

The fourth proportional to 6,808.56, 10,216.56 and 2,648.70 is: 3,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.56 : 10,216.56 = 2,648.70 : x
  2. Step 2: Convert to fraction form
    6,808.56/10,216.56 = 2,648.70/x
  3. Step 3: Cross multiply
    6,808.56x = 10,216.56 × 2,648.70
  4. Step 4: Simplify right side
    6,808.56x = 27,060,590.06
  5. Step 5: Solve for x
    x = 27,060,590.06/6,808.56
  6. Step 6: Final answer
    x = 3,974.50

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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.