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Finding the Fourth Proportional to 6,472.74, 9,709.66 and 1,792.75

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Solution

The fourth proportional to 6,472.74, 9,709.66 and 1,792.75 is: 2,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.74 : 9,709.66 = 1,792.75 : x
  2. Step 2: Convert to fraction form
    6,472.74/9,709.66 = 1,792.75/x
  3. Step 3: Cross multiply
    6,472.74x = 9,709.66 × 1,792.75
  4. Step 4: Simplify right side
    6,472.74x = 17,406,945.65
  5. Step 5: Solve for x
    x = 17,406,945.65/6,472.74
  6. Step 6: Final answer
    x = 2,689.27

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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.