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Finding the Fourth Proportional to 6,903.50, 9,526.23 and 3,919.46

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Solution

The fourth proportional to 6,903.50, 9,526.23 and 3,919.46 is: 5,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.50 : 9,526.23 = 3,919.46 : x
  2. Step 2: Convert to fraction form
    6,903.50/9,526.23 = 3,919.46/x
  3. Step 3: Cross multiply
    6,903.50x = 9,526.23 × 3,919.46
  4. Step 4: Simplify right side
    6,903.50x = 37,337,677.44
  5. Step 5: Solve for x
    x = 37,337,677.44/6,903.50
  6. Step 6: Final answer
    x = 5,408.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.