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Finding the Fourth Proportional to 6,492.72, 9,734.22 and 3,567

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Solution

The fourth proportional to 6,492.72, 9,734.22 and 3,567 is: 5,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.72 : 9,734.22 = 3,567 : x
  2. Step 2: Convert to fraction form
    6,492.72/9,734.22 = 3,567/x
  3. Step 3: Cross multiply
    6,492.72x = 9,734.22 × 3,567
  4. Step 4: Simplify right side
    6,492.72x = 34,721,962.74
  5. Step 5: Solve for x
    x = 34,721,962.74/6,492.72
  6. Step 6: Final answer
    x = 5,347.83

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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.