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Finding the Fourth Proportional to 6,751.67, 10,115.88 and 6,066.87

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Solution

The fourth proportional to 6,751.67, 10,115.88 and 6,066.87 is: 9,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.67 : 10,115.88 = 6,066.87 : x
  2. Step 2: Convert to fraction form
    6,751.67/10,115.88 = 6,066.87/x
  3. Step 3: Cross multiply
    6,751.67x = 10,115.88 × 6,066.87
  4. Step 4: Simplify right side
    6,751.67x = 61,371,668.21
  5. Step 5: Solve for x
    x = 61,371,668.21/6,751.67
  6. Step 6: Final answer
    x = 9,089.86

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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.