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Finding the Fourth Proportional to 6,354.46, 9,531.99 and 3,070.32

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Solution

The fourth proportional to 6,354.46, 9,531.99 and 3,070.32 is: 4,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.46 : 9,531.99 = 3,070.32 : x
  2. Step 2: Convert to fraction form
    6,354.46/9,531.99 = 3,070.32/x
  3. Step 3: Cross multiply
    6,354.46x = 9,531.99 × 3,070.32
  4. Step 4: Simplify right side
    6,354.46x = 29,266,211.88
  5. Step 5: Solve for x
    x = 29,266,211.88/6,354.46
  6. Step 6: Final answer
    x = 4,605.62

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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.