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Finding the Fourth Proportional to 6,484.64, 9,730.74 and 2,736.19

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Solution

The fourth proportional to 6,484.64, 9,730.74 and 2,736.19 is: 4,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.64 : 9,730.74 = 2,736.19 : x
  2. Step 2: Convert to fraction form
    6,484.64/9,730.74 = 2,736.19/x
  3. Step 3: Cross multiply
    6,484.64x = 9,730.74 × 2,736.19
  4. Step 4: Simplify right side
    6,484.64x = 26,625,153.48
  5. Step 5: Solve for x
    x = 26,625,153.48/6,484.64
  6. Step 6: Final answer
    x = 4,105.88

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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.