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Finding the Fourth Proportional to 6,445.04, 9,662 and 2,884.44

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Solution

The fourth proportional to 6,445.04, 9,662 and 2,884.44 is: 4,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.04 : 9,662 = 2,884.44 : x
  2. Step 2: Convert to fraction form
    6,445.04/9,662 = 2,884.44/x
  3. Step 3: Cross multiply
    6,445.04x = 9,662 × 2,884.44
  4. Step 4: Simplify right side
    6,445.04x = 27,869,459.28
  5. Step 5: Solve for x
    x = 27,869,459.28/6,445.04
  6. Step 6: Final answer
    x = 4,324.17

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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.