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Finding the Fourth Proportional to 6,682.95, 10,048.73 and 6,537.15

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Solution

The fourth proportional to 6,682.95, 10,048.73 and 6,537.15 is: 9,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.95 : 10,048.73 = 6,537.15 : x
  2. Step 2: Convert to fraction form
    6,682.95/10,048.73 = 6,537.15/x
  3. Step 3: Cross multiply
    6,682.95x = 10,048.73 × 6,537.15
  4. Step 4: Simplify right side
    6,682.95x = 65,690,022.63
  5. Step 5: Solve for x
    x = 65,690,022.63/6,682.95
  6. Step 6: Final answer
    x = 9,829.49

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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.