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Finding the Fourth Proportional to 9,401, 14,102.30 and 2,475.52

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Solution

The fourth proportional to 9,401, 14,102.30 and 2,475.52 is: 3,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401 : 14,102.30 = 2,475.52 : x
  2. Step 2: Convert to fraction form
    9,401/14,102.30 = 2,475.52/x
  3. Step 3: Cross multiply
    9,401x = 14,102.30 × 2,475.52
  4. Step 4: Simplify right side
    9,401x = 34,910,525.70
  5. Step 5: Solve for x
    x = 34,910,525.70/9,401
  6. Step 6: Final answer
    x = 3,713.49

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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.