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Finding the Fourth Proportional to 6,369.30, 9,552.32 and 1,984.50

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Solution

The fourth proportional to 6,369.30, 9,552.32 and 1,984.50 is: 2,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.30 : 9,552.32 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    6,369.30/9,552.32 = 1,984.50/x
  3. Step 3: Cross multiply
    6,369.30x = 9,552.32 × 1,984.50
  4. Step 4: Simplify right side
    6,369.30x = 18,956,579.04
  5. Step 5: Solve for x
    x = 18,956,579.04/6,369.30
  6. Step 6: Final answer
    x = 2,976.24

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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.