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Finding the Fourth Proportional to 6,537.96, 9,016.20 and 4,176

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Solution

The fourth proportional to 6,537.96, 9,016.20 and 4,176 is: 5,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.96 : 9,016.20 = 4,176 : x
  2. Step 2: Convert to fraction form
    6,537.96/9,016.20 = 4,176/x
  3. Step 3: Cross multiply
    6,537.96x = 9,016.20 × 4,176
  4. Step 4: Simplify right side
    6,537.96x = 37,651,651.20
  5. Step 5: Solve for x
    x = 37,651,651.20/6,537.96
  6. Step 6: Final answer
    x = 5,758.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.