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Finding the Fourth Proportional to 6,602.42, 9,906.24 and 4,856.24

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Solution

The fourth proportional to 6,602.42, 9,906.24 and 4,856.24 is: 7,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.42 : 9,906.24 = 4,856.24 : x
  2. Step 2: Convert to fraction form
    6,602.42/9,906.24 = 4,856.24/x
  3. Step 3: Cross multiply
    6,602.42x = 9,906.24 × 4,856.24
  4. Step 4: Simplify right side
    6,602.42x = 48,107,078.94
  5. Step 5: Solve for x
    x = 48,107,078.94/6,602.42
  6. Step 6: Final answer
    x = 7,286.28

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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.