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Finding the Fourth Proportional to 6,493.77, 9,747.54 and 5,275.88

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Solution

The fourth proportional to 6,493.77, 9,747.54 and 5,275.88 is: 7,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.77 : 9,747.54 = 5,275.88 : x
  2. Step 2: Convert to fraction form
    6,493.77/9,747.54 = 5,275.88/x
  3. Step 3: Cross multiply
    6,493.77x = 9,747.54 × 5,275.88
  4. Step 4: Simplify right side
    6,493.77x = 51,426,819.37
  5. Step 5: Solve for x
    x = 51,426,819.37/6,493.77
  6. Step 6: Final answer
    x = 7,919.41

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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.