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Finding the Fourth Proportional to 7,135, 9,846.33 and 3,991.20

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Solution

The fourth proportional to 7,135, 9,846.33 and 3,991.20 is: 5,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135 : 9,846.33 = 3,991.20 : x
  2. Step 2: Convert to fraction form
    7,135/9,846.33 = 3,991.20/x
  3. Step 3: Cross multiply
    7,135x = 9,846.33 × 3,991.20
  4. Step 4: Simplify right side
    7,135x = 39,298,672.30
  5. Step 5: Solve for x
    x = 39,298,672.30/7,135
  6. Step 6: Final answer
    x = 5,507.87

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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.