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Finding the Fourth Proportional to 6,544.63, 9,818.11 and 2,390.48

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Solution

The fourth proportional to 6,544.63, 9,818.11 and 2,390.48 is: 3,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.63 : 9,818.11 = 2,390.48 : x
  2. Step 2: Convert to fraction form
    6,544.63/9,818.11 = 2,390.48/x
  3. Step 3: Cross multiply
    6,544.63x = 9,818.11 × 2,390.48
  4. Step 4: Simplify right side
    6,544.63x = 23,469,986.31
  5. Step 5: Solve for x
    x = 23,469,986.31/6,544.63
  6. Step 6: Final answer
    x = 3,586.14

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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.