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Finding the Fourth Proportional to 6,452.03, 9,679.67 and 1,835.03

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Solution

The fourth proportional to 6,452.03, 9,679.67 and 1,835.03 is: 2,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.03 : 9,679.67 = 1,835.03 : x
  2. Step 2: Convert to fraction form
    6,452.03/9,679.67 = 1,835.03/x
  3. Step 3: Cross multiply
    6,452.03x = 9,679.67 × 1,835.03
  4. Step 4: Simplify right side
    6,452.03x = 17,762,484.84
  5. Step 5: Solve for x
    x = 17,762,484.84/6,452.03
  6. Step 6: Final answer
    x = 2,753.01

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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.