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Finding the Fourth Proportional to 6,697.50, 10,031.49 and 3,769.26

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Solution

The fourth proportional to 6,697.50, 10,031.49 and 3,769.26 is: 5,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.50 : 10,031.49 = 3,769.26 : x
  2. Step 2: Convert to fraction form
    6,697.50/10,031.49 = 3,769.26/x
  3. Step 3: Cross multiply
    6,697.50x = 10,031.49 × 3,769.26
  4. Step 4: Simplify right side
    6,697.50x = 37,811,294.00
  5. Step 5: Solve for x
    x = 37,811,294.00/6,697.50
  6. Step 6: Final answer
    x = 5,645.58

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1.5x scale

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.