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Finding the Fourth Proportional to 7,013.53, 10,520.25 and 1,748.51

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Solution

The fourth proportional to 7,013.53, 10,520.25 and 1,748.51 is: 2,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.53 : 10,520.25 = 1,748.51 : x
  2. Step 2: Convert to fraction form
    7,013.53/10,520.25 = 1,748.51/x
  3. Step 3: Cross multiply
    7,013.53x = 10,520.25 × 1,748.51
  4. Step 4: Simplify right side
    7,013.53x = 18,394,762.33
  5. Step 5: Solve for x
    x = 18,394,762.33/7,013.53
  6. Step 6: Final answer
    x = 2,622.75

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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.