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Finding the Fourth Proportional to 13,807.80, 20,679.30 and 9,401.40

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Solution

The fourth proportional to 13,807.80, 20,679.30 and 9,401.40 is: 14,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.80 : 20,679.30 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    13,807.80/20,679.30 = 9,401.40/x
  3. Step 3: Cross multiply
    13,807.80x = 20,679.30 × 9,401.40
  4. Step 4: Simplify right side
    13,807.80x = 194,414,371.02
  5. Step 5: Solve for x
    x = 194,414,371.02/13,807.80
  6. Step 6: Final answer
    x = 14,080.04

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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.