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Finding the Fourth Proportional to 6,406.24, 9,608.40 and 3,490.24

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Solution

The fourth proportional to 6,406.24, 9,608.40 and 3,490.24 is: 5,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.24 : 9,608.40 = 3,490.24 : x
  2. Step 2: Convert to fraction form
    6,406.24/9,608.40 = 3,490.24/x
  3. Step 3: Cross multiply
    6,406.24x = 9,608.40 × 3,490.24
  4. Step 4: Simplify right side
    6,406.24x = 33,535,622.02
  5. Step 5: Solve for x
    x = 33,535,622.02/6,406.24
  6. Step 6: Final answer
    x = 5,234.84

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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.