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Finding the Fourth Proportional to 6,419.60, 9,614.10 and 3,122.10

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Solution

The fourth proportional to 6,419.60, 9,614.10 and 3,122.10 is: 4,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.60 : 9,614.10 = 3,122.10 : x
  2. Step 2: Convert to fraction form
    6,419.60/9,614.10 = 3,122.10/x
  3. Step 3: Cross multiply
    6,419.60x = 9,614.10 × 3,122.10
  4. Step 4: Simplify right side
    6,419.60x = 30,016,181.61
  5. Step 5: Solve for x
    x = 30,016,181.61/6,419.60
  6. Step 6: Final answer
    x = 4,675.71

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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.