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Finding the Fourth Proportional to 6,452.82, 9,682.20 and 4,699.56

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Solution

The fourth proportional to 6,452.82, 9,682.20 and 4,699.56 is: 7,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.82 : 9,682.20 = 4,699.56 : x
  2. Step 2: Convert to fraction form
    6,452.82/9,682.20 = 4,699.56/x
  3. Step 3: Cross multiply
    6,452.82x = 9,682.20 × 4,699.56
  4. Step 4: Simplify right side
    6,452.82x = 45,502,079.83
  5. Step 5: Solve for x
    x = 45,502,079.83/6,452.82
  6. Step 6: Final answer
    x = 7,051.50

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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.