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Finding the Fourth Proportional to 9,662.60, 14,493.90 and 4,114.10

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Solution

The fourth proportional to 9,662.60, 14,493.90 and 4,114.10 is: 6,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.60 : 14,493.90 = 4,114.10 : x
  2. Step 2: Convert to fraction form
    9,662.60/14,493.90 = 4,114.10/x
  3. Step 3: Cross multiply
    9,662.60x = 14,493.90 × 4,114.10
  4. Step 4: Simplify right side
    9,662.60x = 59,629,353.99
  5. Step 5: Solve for x
    x = 59,629,353.99/9,662.60
  6. Step 6: Final answer
    x = 6,171.15

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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.