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Finding the Fourth Proportional to 6,495.64, 9,734.49 and 2,976.89

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Solution

The fourth proportional to 6,495.64, 9,734.49 and 2,976.89 is: 4,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.64 : 9,734.49 = 2,976.89 : x
  2. Step 2: Convert to fraction form
    6,495.64/9,734.49 = 2,976.89/x
  3. Step 3: Cross multiply
    6,495.64x = 9,734.49 × 2,976.89
  4. Step 4: Simplify right side
    6,495.64x = 28,978,530.27
  5. Step 5: Solve for x
    x = 28,978,530.27/6,495.64
  6. Step 6: Final answer
    x = 4,461.23

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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.