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Finding the Fourth Proportional to 6,741, 10,110.99 and 2,358.75

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Solution

The fourth proportional to 6,741, 10,110.99 and 2,358.75 is: 3,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 10,110.99 = 2,358.75 : x
  2. Step 2: Convert to fraction form
    6,741/10,110.99 = 2,358.75/x
  3. Step 3: Cross multiply
    6,741x = 10,110.99 × 2,358.75
  4. Step 4: Simplify right side
    6,741x = 23,849,297.66
  5. Step 5: Solve for x
    x = 23,849,297.66/6,741
  6. Step 6: Final answer
    x = 3,537.95

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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.