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Finding the Fourth Proportional to 6,476.72, 9,717.92 and 4,639.64

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Solution

The fourth proportional to 6,476.72, 9,717.92 and 4,639.64 is: 6,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.72 : 9,717.92 = 4,639.64 : x
  2. Step 2: Convert to fraction form
    6,476.72/9,717.92 = 4,639.64/x
  3. Step 3: Cross multiply
    6,476.72x = 9,717.92 × 4,639.64
  4. Step 4: Simplify right side
    6,476.72x = 45,087,650.35
  5. Step 5: Solve for x
    x = 45,087,650.35/6,476.72
  6. Step 6: Final answer
    x = 6,961.49

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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.