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Finding the Fourth Proportional to 6,462.24, 9,669.60 and 3,998.40

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Solution

The fourth proportional to 6,462.24, 9,669.60 and 3,998.40 is: 5,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.24 : 9,669.60 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    6,462.24/9,669.60 = 3,998.40/x
  3. Step 3: Cross multiply
    6,462.24x = 9,669.60 × 3,998.40
  4. Step 4: Simplify right side
    6,462.24x = 38,662,928.64
  5. Step 5: Solve for x
    x = 38,662,928.64/6,462.24
  6. Step 6: Final answer
    x = 5,982.90

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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.