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Finding the Fourth Proportional to 6,602.02, 9,904.68 and 3,682.78

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Solution

The fourth proportional to 6,602.02, 9,904.68 and 3,682.78 is: 5,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.02 : 9,904.68 = 3,682.78 : x
  2. Step 2: Convert to fraction form
    6,602.02/9,904.68 = 3,682.78/x
  3. Step 3: Cross multiply
    6,602.02x = 9,904.68 × 3,682.78
  4. Step 4: Simplify right side
    6,602.02x = 36,476,757.41
  5. Step 5: Solve for x
    x = 36,476,757.41/6,602.02
  6. Step 6: Final answer
    x = 5,525.09

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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.