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Finding the Fourth Proportional to 7,100.65, 10,650.98 and 3,834.51

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Solution

The fourth proportional to 7,100.65, 10,650.98 and 3,834.51 is: 5,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.65 : 10,650.98 = 3,834.51 : x
  2. Step 2: Convert to fraction form
    7,100.65/10,650.98 = 3,834.51/x
  3. Step 3: Cross multiply
    7,100.65x = 10,650.98 × 3,834.51
  4. Step 4: Simplify right side
    7,100.65x = 40,841,237.40
  5. Step 5: Solve for x
    x = 40,841,237.40/7,100.65
  6. Step 6: Final answer
    x = 5,751.76

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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.