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Finding the Fourth Proportional to 6,684.59, 10,026.89 and 2,005.09

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Solution

The fourth proportional to 6,684.59, 10,026.89 and 2,005.09 is: 3,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.59 : 10,026.89 = 2,005.09 : x
  2. Step 2: Convert to fraction form
    6,684.59/10,026.89 = 2,005.09/x
  3. Step 3: Cross multiply
    6,684.59x = 10,026.89 × 2,005.09
  4. Step 4: Simplify right side
    6,684.59x = 20,104,816.87
  5. Step 5: Solve for x
    x = 20,104,816.87/6,684.59
  6. Step 6: Final answer
    x = 3,007.64

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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.