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Finding the Fourth Proportional to 6,537.95, 9,803.67 and 2,789.15

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Solution

The fourth proportional to 6,537.95, 9,803.67 and 2,789.15 is: 4,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.95 : 9,803.67 = 2,789.15 : x
  2. Step 2: Convert to fraction form
    6,537.95/9,803.67 = 2,789.15/x
  3. Step 3: Cross multiply
    6,537.95x = 9,803.67 × 2,789.15
  4. Step 4: Simplify right side
    6,537.95x = 27,343,857.16
  5. Step 5: Solve for x
    x = 27,343,857.16/6,537.95
  6. Step 6: Final answer
    x = 4,182.33

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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.