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Finding the Fourth Proportional to 6,474.30, 9,712.80 and 3,698.70

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Solution

The fourth proportional to 6,474.30, 9,712.80 and 3,698.70 is: 5,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.30 : 9,712.80 = 3,698.70 : x
  2. Step 2: Convert to fraction form
    6,474.30/9,712.80 = 3,698.70/x
  3. Step 3: Cross multiply
    6,474.30x = 9,712.80 × 3,698.70
  4. Step 4: Simplify right side
    6,474.30x = 35,924,733.36
  5. Step 5: Solve for x
    x = 35,924,733.36/6,474.30
  6. Step 6: Final answer
    x = 5,548.82

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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.