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Finding the Fourth Proportional to 6,492.67, 9,735.53 and 3,369.53

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Solution

The fourth proportional to 6,492.67, 9,735.53 and 3,369.53 is: 5,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.67 : 9,735.53 = 3,369.53 : x
  2. Step 2: Convert to fraction form
    6,492.67/9,735.53 = 3,369.53/x
  3. Step 3: Cross multiply
    6,492.67x = 9,735.53 × 3,369.53
  4. Step 4: Simplify right side
    6,492.67x = 32,804,111.72
  5. Step 5: Solve for x
    x = 32,804,111.72/6,492.67
  6. Step 6: Final answer
    x = 5,052.49

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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.