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Finding the Fourth Proportional to 14,114, 21,241.90 and 10,622.10

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Solution

The fourth proportional to 14,114, 21,241.90 and 10,622.10 is: 15,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114 : 21,241.90 = 10,622.10 : x
  2. Step 2: Convert to fraction form
    14,114/21,241.90 = 10,622.10/x
  3. Step 3: Cross multiply
    14,114x = 21,241.90 × 10,622.10
  4. Step 4: Simplify right side
    14,114x = 225,633,585.99
  5. Step 5: Solve for x
    x = 225,633,585.99/14,114
  6. Step 6: Final answer
    x = 15,986.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.