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Finding the Fourth Proportional to 6,415.68, 9,622.60 and 3,949.24

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Solution

The fourth proportional to 6,415.68, 9,622.60 and 3,949.24 is: 5,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.68 : 9,622.60 = 3,949.24 : x
  2. Step 2: Convert to fraction form
    6,415.68/9,622.60 = 3,949.24/x
  3. Step 3: Cross multiply
    6,415.68x = 9,622.60 × 3,949.24
  4. Step 4: Simplify right side
    6,415.68x = 38,001,956.82
  5. Step 5: Solve for x
    x = 38,001,956.82/6,415.68
  6. Step 6: Final answer
    x = 5,923.29

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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.