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Finding the Fourth Proportional to 6,354.64, 9,532.84 and 1,972.44

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Solution

The fourth proportional to 6,354.64, 9,532.84 and 1,972.44 is: 2,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.64 : 9,532.84 = 1,972.44 : x
  2. Step 2: Convert to fraction form
    6,354.64/9,532.84 = 1,972.44/x
  3. Step 3: Cross multiply
    6,354.64x = 9,532.84 × 1,972.44
  4. Step 4: Simplify right side
    6,354.64x = 18,802,954.93
  5. Step 5: Solve for x
    x = 18,802,954.93/6,354.64
  6. Step 6: Final answer
    x = 2,958.93

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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.