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Finding the Fourth Proportional to 6,529.80, 9,796.32 and 3,063

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Solution

The fourth proportional to 6,529.80, 9,796.32 and 3,063 is: 4,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.80 : 9,796.32 = 3,063 : x
  2. Step 2: Convert to fraction form
    6,529.80/9,796.32 = 3,063/x
  3. Step 3: Cross multiply
    6,529.80x = 9,796.32 × 3,063
  4. Step 4: Simplify right side
    6,529.80x = 30,006,128.16
  5. Step 5: Solve for x
    x = 30,006,128.16/6,529.80
  6. Step 6: Final answer
    x = 4,595.26

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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.