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Finding the Fourth Proportional to 6,544, 9,816.18 and 1,613.62

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Solution

The fourth proportional to 6,544, 9,816.18 and 1,613.62 is: 2,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544 : 9,816.18 = 1,613.62 : x
  2. Step 2: Convert to fraction form
    6,544/9,816.18 = 1,613.62/x
  3. Step 3: Cross multiply
    6,544x = 9,816.18 × 1,613.62
  4. Step 4: Simplify right side
    6,544x = 15,839,584.37
  5. Step 5: Solve for x
    x = 15,839,584.37/6,544
  6. Step 6: Final answer
    x = 2,420.47

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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.