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Finding the Fourth Proportional to 6,498.46, 9,732.07 and 3,716.70

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Solution

The fourth proportional to 6,498.46, 9,732.07 and 3,716.70 is: 5,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.46 : 9,732.07 = 3,716.70 : x
  2. Step 2: Convert to fraction form
    6,498.46/9,732.07 = 3,716.70/x
  3. Step 3: Cross multiply
    6,498.46x = 9,732.07 × 3,716.70
  4. Step 4: Simplify right side
    6,498.46x = 36,171,184.57
  5. Step 5: Solve for x
    x = 36,171,184.57/6,498.46
  6. Step 6: Final answer
    x = 5,566.12

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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.